# Read data
car_data2 <- read.csv("~/Downloads/car_data2.csv")

# List of numerical features
numeric_features <- c(
  'subscription_length', 'vehicle_age', 'customer_age', 'region_density',
  'airbags', 'displacement', 'cylinder', 'turning_radius', 'length', 'width',
  'gross_weight', 'ncap_rating'
)

# List of categorical features
categorical_features <- c(
  'region_code', 'segment', 'model', 'fuel_type', 'max_torque', 'max_power',
  'engine_type', 'rear_brakes_type', 'transmission_type', 'steering_type'
)

# List of binary features
binary_features <- c(
  'is_esc', 'is_adjustable_steering', 'is_tpms', 'is_parking_sensors',
  'is_parking_camera', 'is_front_fog_lights', 'is_rear_window_wiper', 
  'is_rear_window_washer', 'is_rear_window_defogger', 'is_brake_assist', 
  'is_power_door_locks', 'is_central_locking', 'is_power_steering', 
  'is_driver_seat_height_adjustable', 'is_day_night_rear_view_mirror', 
  'is_ecw', 'is_speed_alert'
)

# Convert binary features from "yes"/"no" to 1/0
car_data2[binary_features] <- lapply(car_data2[binary_features], function(x) ifelse(x == "Yes", 1, ifelse(x == "No", 0, x)))

# Extract numerical features
numeric_data <- car_data2 %>%
  select(all_of(numeric_features))

# Extract categorical features
categorical_data <- car_data2 %>%
  select(all_of(categorical_features))

# Extract binary features
binary_data <- car_data2 %>%
  select(all_of(binary_features))

# Print extracted data

# Check the first few rows to verify changes
head(car_data2)
##   policy_id subscription_length vehicle_age customer_age region_code
## 1 POL045360                 9.3         1.2           41          C8
## 2 POL016745                 8.2         1.8           35          C2
## 3 POL007194                 9.5         0.2           44          C8
## 4 POL018146                 5.2         0.4           44         C10
## 5 POL049011                10.1         1.0           56         C13
## 6 POL053680                 3.1         2.0           36          C7
##   region_density segment model fuel_type    max_torque         max_power
## 1           8794      C2    M4    Diesel 250Nm@2750rpm 113.45bhp@4000rpm
## 2          27003      C1    M9    Diesel 200Nm@1750rpm  97.89bhp@3600rpm
## 3           8794      C2    M4    Diesel 250Nm@2750rpm 113.45bhp@4000rpm
## 4          73430       A    M1       CNG  60Nm@3500rpm  40.36bhp@6000rpm
## 5           5410      B2    M5    Diesel 200Nm@3000rpm  88.77bhp@4000rpm
## 6           6112      B2    M7    Petrol 113Nm@4400rpm  88.50bhp@6000rpm
##                 engine_type airbags is_esc is_adjustable_steering is_tpms
## 1             1.5 L U2 CRDi       6      1                      1       1
## 2                    i-DTEC       2      0                      1       0
## 3             1.5 L U2 CRDi       6      1                      1       1
## 4         F8D Petrol Engine       2      0                      0       0
## 5 1.5 Turbocharged Revotorq       2      0                      1       0
## 6     1.2 L K Series Engine       6      1                      1       0
##   is_parking_sensors is_parking_camera rear_brakes_type displacement cylinder
## 1                  1                 1             Disc         1493        4
## 2                  1                 1             Drum         1498        4
## 3                  1                 1             Disc         1493        4
## 4                  1                 0             Drum          796        3
## 5                  1                 0             Drum         1497        4
## 6                  1                 1             Drum         1197        4
##   transmission_type steering_type turning_radius length width gross_weight
## 1         Automatic         Power           5.20   4300  1790         1720
## 2            Manual      Electric           4.90   3995  1695         1051
## 3         Automatic         Power           5.20   4300  1790         1720
## 4            Manual         Power           4.60   3445  1515         1185
## 5            Manual      Electric           5.00   3990  1755         1490
## 6         Automatic      Electric           4.85   3990  1745         1410
##   is_front_fog_lights is_rear_window_wiper is_rear_window_washer
## 1                   1                    1                     1
## 2                   1                    0                     0
## 3                   1                    1                     1
## 4                   0                    0                     0
## 5                   0                    0                     0
## 6                   1                    1                     1
##   is_rear_window_defogger is_brake_assist is_power_door_locks
## 1                       1               1                   1
## 2                       1               0                   1
## 3                       1               1                   1
## 4                       0               0                   0
## 5                       0               0                   1
## 6                       1               1                   1
##   is_central_locking is_power_steering is_driver_seat_height_adjustable
## 1                  1                 1                                1
## 2                  1                 1                                1
## 3                  1                 1                                1
## 4                  0                 1                                0
## 5                  1                 1                                0
## 6                  1                 1                                1
##   is_day_night_rear_view_mirror is_ecw is_speed_alert ncap_rating claim_status
## 1                             0      1              1           3            0
## 2                             1      1              1           4            0
## 3                             0      1              1           3            0
## 4                             0      0              1           0            0
## 5                             0      1              1           5            0
## 6                             1      1              1           0            0
# Read data
car_data2 <- read.csv("~/Downloads/car_data2.csv")

# List of binary features
binary_features <- c(
  'is_esc', 'is_adjustable_steering', 'is_tpms', 'is_parking_sensors',
  'is_parking_camera', 'is_front_fog_lights', 'is_rear_window_wiper', 
  'is_rear_window_washer', 'is_rear_window_defogger', 'is_brake_assist', 
  'is_power_door_locks', 'is_central_locking', 'is_power_steering', 
  'is_driver_seat_height_adjustable', 'is_day_night_rear_view_mirror', 
  'is_ecw', 'is_speed_alert'
)

# Convert binary features
car_data2[binary_features] <- lapply(car_data2[binary_features], function(x) ifelse(x == "Yes", 1, ifelse(x == "No", 0, as.numeric(x))))
## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion

## Warning in ifelse(x == "No", 0, as.numeric(x)): NAs introduced by coercion
# Extract binary features
binary_data <- car_data2 %>%
  select(all_of(binary_features))

# Ensure all features are numeric
binary_data <- as.data.frame(lapply(binary_data, as.numeric))

# Perform DBSCAN clustering
set.seed(123)
dbscan_result <- dbscan(binary_data, eps = 0.5, minPts = 5)

# View clustering results
print(dbscan_result)
## DBSCAN clustering for 58592 objects.
## Parameters: eps = 0.5, minPts = 5
## Using euclidean distances and borderpoints = TRUE
## The clustering contains 11 cluster(s) and 0 noise points.
## 
##     1     2     3     4     5     6     7     8     9    10    11 
## 14018  2114 14948  1598  2940 13776  4173  2373  1080  1209   363 
## 
## Available fields: cluster, eps, minPts, dist, borderPoints
# Add clustering results to the original data
car_data2$cluster <- dbscan_result$cluster

# Visualize clustering results (using PCA to reduce to 2D for visualization)
binary_data_pca <- prcomp(binary_data, center = TRUE, scale. = TRUE)
pca_data <- data.frame(binary_data_pca$x[,1:2], cluster = as.factor(dbscan_result$cluster))
ggplot(pca_data, aes(x = PC1, y = PC2, color = cluster)) +
  geom_point() +
  labs(title = "DBSCAN Clustering on Binary Features (PCA Reduced)", x = "Principal Component 1", y = "Principal Component 2")

# Analyze insurance claim rate for each cluster
cluster_claim_analysis <- car_data2 %>%
  group_by(cluster) %>%
  summarise(
    claim_rate = mean(claim_status)
  )

print(cluster_claim_analysis)
## # A tibble: 11 × 2
##    cluster claim_rate
##      <int>      <dbl>
##  1       1     0.0643
##  2       2     0.0629
##  3       3     0.0614
##  4       4     0.0726
##  5       5     0.0684
##  6       6     0.0682
##  7       7     0.0585
##  8       8     0.0539
##  9       9     0.0741
## 10      10     0.0604
## 11      11     0.0413
# Analyze feature distribution for each cluster
cluster_summary <- car_data2 %>%
  group_by(cluster) %>%
  summarise_all(mean, na.rm = TRUE)
## Warning: There were 121 warnings in `summarise()`.
## The first warning was:
## ℹ In argument: `policy_id = (function (x, ...) ...`.
## ℹ In group 1: `cluster = 1`.
## Caused by warning in `mean.default()`:
## ! argument is not numeric or logical: returning NA
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 120 remaining warnings.
print(cluster_summary)
## # A tibble: 11 × 42
##    cluster policy_id subscription_length vehicle_age customer_age region_code
##      <int>     <dbl>               <dbl>       <dbl>        <dbl>       <dbl>
##  1       1        NA                6.81       1.78          44.8          NA
##  2       2        NA                6.38       1.45          43.5          NA
##  3       3        NA                4.48       0.512         45.4          NA
##  4       4        NA                6.23       1.73          44.8          NA
##  5       5        NA                6.69       1.69          44.4          NA
##  6       6        NA                6.87       1.72          45.4          NA
##  7       7        NA                6.36       1.47          43.1          NA
##  8       8        NA                6.43       1.52          43.9          NA
##  9       9        NA                6.32       1.68          44.0          NA
## 10      10        NA                5.75       1.54          43.7          NA
## 11      11        NA                6.66       2.06          44.7          NA
## # ℹ 36 more variables: region_density <dbl>, segment <dbl>, model <dbl>,
## #   fuel_type <dbl>, max_torque <dbl>, max_power <dbl>, engine_type <dbl>,
## #   airbags <dbl>, is_esc <dbl>, is_adjustable_steering <dbl>, is_tpms <dbl>,
## #   is_parking_sensors <dbl>, is_parking_camera <dbl>, rear_brakes_type <dbl>,
## #   displacement <dbl>, cylinder <dbl>, transmission_type <dbl>,
## #   steering_type <dbl>, turning_radius <dbl>, length <dbl>, width <dbl>,
## #   gross_weight <dbl>, is_front_fog_lights <dbl>, …
# Use clustering results as the dependent variable and binary features as independent variables
set.seed(123)
rf_model <- randomForest(as.factor(car_data2$claim_status) ~ ., data = binary_data)

# View feature importance
importance <- importance(rf_model)
var_importance <- data.frame(Feature = rownames(importance), Importance = importance[, 1])

# Sort by importance
var_importance <- var_importance[order(-var_importance$Importance), ]
print(var_importance)
##                                                           Feature Importance
## is_adjustable_steering                     is_adjustable_steering 0.65230308
## is_front_fog_lights                           is_front_fog_lights 0.34067299
## is_brake_assist                                   is_brake_assist 0.26011907
## is_day_night_rear_view_mirror       is_day_night_rear_view_mirror 0.22461612
## is_driver_seat_height_adjustable is_driver_seat_height_adjustable 0.22370237
## is_speed_alert                                     is_speed_alert 0.17115382
## is_parking_camera                               is_parking_camera 0.16774573
## is_parking_sensors                             is_parking_sensors 0.16030773
## is_esc                                                     is_esc 0.09875457
## is_tpms                                                   is_tpms 0.09802271
## is_rear_window_defogger                   is_rear_window_defogger 0.08478399
## is_ecw                                                     is_ecw 0.07547211
## is_rear_window_wiper                         is_rear_window_wiper 0.07038729
## is_rear_window_washer                       is_rear_window_washer 0.07018289
## is_central_locking                             is_central_locking 0.06466322
## is_power_door_locks                           is_power_door_locks 0.05819822
## is_power_steering                               is_power_steering 0.05251634
# Visualize feature importance
ggplot(var_importance, aes(x = reorder(Feature, Importance), y = Importance)) +
  geom_bar(stat = "identity") +
  coord_flip() +
  labs(title = "Feature Importance for Predicting Insurance Claims", x = "Feature", y = "Importance")

# Read data
car_data2 <- read.csv("~/Downloads/car_data2.csv")

# List of categorical features
categorical_features <- c(
  'region_code', 'segment', 'model', 'fuel_type', 'max_torque', 'max_power',
  'engine_type', 'rear_brakes_type', 'transmission_type', 'steering_type'
)

# Calculate and display the distribution of each categorical variable
for (feature in categorical_features) {
  cat("Data Distribution for:", feature, "\n")
  print(table(car_data2[[feature]]))
  cat("\n")
}
## Data Distribution for: region_code 
## 
##    C1   C10   C11   C12   C13   C14   C15   C16   C17   C18   C19    C2   C20 
##  1468  3155  1212  1589  3423  3660   771   401   492   242   952  7342   109 
##   C21   C22    C3    C4    C5    C6    C7    C8    C9 
##   379   207  6101   665  6979   890  2167 13654  2734 
## 
## Data Distribution for: segment 
## 
##       A      B1      B2      C1      C2 Utility 
##   17321    4173   18314    3557   14018    1209 
## 
## Data Distribution for: model 
## 
##    M1   M10   M11    M2    M3    M4    M5    M6    M7    M8    M9 
## 14948  1209   363  1080  2373 14018  1598 13776  2940  4173  2114 
## 
## Data Distribution for: fuel_type 
## 
##    CNG Diesel Petrol 
##  20330  17730  20532 
## 
## Data Distribution for: max_torque 
## 
##  113Nm@4400rpm  170Nm@4000rpm  200Nm@1750rpm  200Nm@3000rpm  250Nm@2750rpm 
##          17796            363           2114           1598          14018 
##   60Nm@3500rpm 82.1Nm@3400rpm   85Nm@3000rpm   91Nm@4250rpm 
##          14948           4173           1209           2373 
## 
## Data Distribution for: max_power 
## 
## 113.45bhp@4000rpm 118.36bhp@5500rpm  40.36bhp@6000rpm  55.92bhp@5300rpm 
##             14018               363             14948              4173 
##  61.68bhp@6000rpm  67.06bhp@5500rpm  88.50bhp@6000rpm  88.77bhp@4000rpm 
##              1209              2373             17796              1598 
##  97.89bhp@3600rpm 
##              2114 
## 
## Data Distribution for: engine_type 
## 
##                   1.0 SCe     1.2 L K Series Engine        1.2 L K12N Dualjet 
##                      2373                      2940                      1080 
##             1.5 L U2 CRDi 1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron 
##                     14018                      1598                       363 
##         F8D Petrol Engine                      G12B                    i-DTEC 
##                     14948                      1209                      2114 
##         K Series Dual jet                      K10C 
##                     13776                      4173 
## 
## Data Distribution for: rear_brakes_type 
## 
##  Disc  Drum 
## 14018 44574 
## 
## Data Distribution for: transmission_type 
## 
## Automatic    Manual 
##     20411     38181 
## 
## Data Distribution for: steering_type 
## 
## Electric   Manual    Power 
##    23881     1209    33502
# List of categorical features
categorical_features <- c(
  'region_code', 'segment', 'model', 'fuel_type', 'max_torque', 'max_power',
  'engine_type', 'rear_brakes_type', 'transmission_type', 'steering_type'
)

# Generate frequency tables and bar plots
for (feature in categorical_features) {
  cat("Frequency Distribution for:", feature, "\n")
  print(table(car_data2[[feature]]))
  cat("\n")
  
  # Plot bar chart
  ggplot(car_data2, aes_string(x = feature)) +
    geom_bar() +
    labs(title = paste("Distribution of", feature), x = feature, y = "Count") +
    theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
    theme_minimal()
}
## Frequency Distribution for: region_code 
## 
##    C1   C10   C11   C12   C13   C14   C15   C16   C17   C18   C19    C2   C20 
##  1468  3155  1212  1589  3423  3660   771   401   492   242   952  7342   109 
##   C21   C22    C3    C4    C5    C6    C7    C8    C9 
##   379   207  6101   665  6979   890  2167 13654  2734
## Warning: `aes_string()` was deprecated in ggplot2 3.0.0.
## ℹ Please use tidy evaluation idioms with `aes()`.
## ℹ See also `vignette("ggplot2-in-packages")` for more information.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.
## Frequency Distribution for: segment 
## 
##       A      B1      B2      C1      C2 Utility 
##   17321    4173   18314    3557   14018    1209 
## 
## Frequency Distribution for: model 
## 
##    M1   M10   M11    M2    M3    M4    M5    M6    M7    M8    M9 
## 14948  1209   363  1080  2373 14018  1598 13776  2940  4173  2114 
## 
## Frequency Distribution for: fuel_type 
## 
##    CNG Diesel Petrol 
##  20330  17730  20532 
## 
## Frequency Distribution for: max_torque 
## 
##  113Nm@4400rpm  170Nm@4000rpm  200Nm@1750rpm  200Nm@3000rpm  250Nm@2750rpm 
##          17796            363           2114           1598          14018 
##   60Nm@3500rpm 82.1Nm@3400rpm   85Nm@3000rpm   91Nm@4250rpm 
##          14948           4173           1209           2373 
## 
## Frequency Distribution for: max_power 
## 
## 113.45bhp@4000rpm 118.36bhp@5500rpm  40.36bhp@6000rpm  55.92bhp@5300rpm 
##             14018               363             14948              4173 
##  61.68bhp@6000rpm  67.06bhp@5500rpm  88.50bhp@6000rpm  88.77bhp@4000rpm 
##              1209              2373             17796              1598 
##  97.89bhp@3600rpm 
##              2114 
## 
## Frequency Distribution for: engine_type 
## 
##                   1.0 SCe     1.2 L K Series Engine        1.2 L K12N Dualjet 
##                      2373                      2940                      1080 
##             1.5 L U2 CRDi 1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron 
##                     14018                      1598                       363 
##         F8D Petrol Engine                      G12B                    i-DTEC 
##                     14948                      1209                      2114 
##         K Series Dual jet                      K10C 
##                     13776                      4173 
## 
## Frequency Distribution for: rear_brakes_type 
## 
##  Disc  Drum 
## 14018 44574 
## 
## Frequency Distribution for: transmission_type 
## 
## Automatic    Manual 
##     20411     38181 
## 
## Frequency Distribution for: steering_type 
## 
## Electric   Manual    Power 
##    23881     1209    33502
# Generate cross-tabulations and stacked bar charts for categorical features with claim_status
for (feature in categorical_features) {
  cat("Cross-tabulation with claim_status for:", feature, "\n")
  print(table(car_data2[[feature]], car_data2$claim_status))
  cat("\n")
  
  # Plot stacked bar chart
  ggplot(car_data2, aes_string(x = feature, fill = "factor(claim_status)")) +
    geom_bar(position = "fill") +
    labs(title = paste("Distribution of", feature, "by Claim Status"), x = feature, y = "Proportion") +
    theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
    theme_minimal()
}
## Cross-tabulation with claim_status for: region_code 
##      
##           0     1
##   C1   1392    76
##   C10  3007   148
##   C11  1140    72
##   C12  1502    87
##   C13  3228   195
##   C14  3379   281
##   C15   733    38
##   C16   378    23
##   C17   473    19
##   C18   216    26
##   C19   881    71
##   C2   6822   520
##   C20   104     5
##   C21   350    29
##   C22   190    17
##   C3   5668   433
##   C4    614    51
##   C5   6576   403
##   C6    835    55
##   C7   2058   109
##   C8  12700   954
##   C9   2598   136
## 
## Cross-tabulation with claim_status for: segment 
##          
##               0     1
##   A       16275  1046
##   B1       3929   244
##   B2      17058  1256
##   C1       3329   228
##   C2      13117   901
##   Utility  1136    73
## 
## Cross-tabulation with claim_status for: model 
##      
##           0     1
##   M1  14030   918
##   M10  1136    73
##   M11   348    15
##   M2   1000    80
##   M3   2245   128
##   M4  13117   901
##   M5   1482   116
##   M6  12837   939
##   M7   2739   201
##   M8   3929   244
##   M9   1981   133
## 
## Cross-tabulation with claim_status for: fuel_type 
##         
##              0     1
##   CNG    19095  1235
##   Diesel 16580  1150
##   Petrol 19169  1363
## 
## Cross-tabulation with claim_status for: max_torque 
##                 
##                      0     1
##   113Nm@4400rpm  16576  1220
##   170Nm@4000rpm    348    15
##   200Nm@1750rpm   1981   133
##   200Nm@3000rpm   1482   116
##   250Nm@2750rpm  13117   901
##   60Nm@3500rpm   14030   918
##   82.1Nm@3400rpm  3929   244
##   85Nm@3000rpm    1136    73
##   91Nm@4250rpm    2245   128
## 
## Cross-tabulation with claim_status for: max_power 
##                    
##                         0     1
##   113.45bhp@4000rpm 13117   901
##   118.36bhp@5500rpm   348    15
##   40.36bhp@6000rpm  14030   918
##   55.92bhp@5300rpm   3929   244
##   61.68bhp@6000rpm   1136    73
##   67.06bhp@5500rpm   2245   128
##   88.50bhp@6000rpm  16576  1220
##   88.77bhp@4000rpm   1482   116
##   97.89bhp@3600rpm   1981   133
## 
## Cross-tabulation with claim_status for: engine_type 
##                            
##                                 0     1
##   1.0 SCe                    2245   128
##   1.2 L K Series Engine      2739   201
##   1.2 L K12N Dualjet         1000    80
##   1.5 L U2 CRDi             13117   901
##   1.5 Turbocharged Revotorq  1482   116
##   1.5 Turbocharged Revotron   348    15
##   F8D Petrol Engine         14030   918
##   G12B                       1136    73
##   i-DTEC                     1981   133
##   K Series Dual jet         12837   939
##   K10C                       3929   244
## 
## Cross-tabulation with claim_status for: rear_brakes_type 
##       
##            0     1
##   Disc 13117   901
##   Drum 41727  2847
## 
## Cross-tabulation with claim_status for: transmission_type 
##            
##                 0     1
##   Automatic 19101  1310
##   Manual    35743  2438
## 
## Cross-tabulation with claim_status for: steering_type 
##           
##                0     1
##   Electric 22284  1597
##   Manual    1136    73
##   Power    31424  2078
# Generate cross-tabulations and heatmaps for pairs of categorical features
library(reshape2)

for (i in 1:(length(categorical_features) - 1)) {
  for (j in (i + 1):length(categorical_features)) {
    feature1 <- categorical_features[i]
    feature2 <- categorical_features[j]
    
    cat("Cross-tabulation between", feature1, "and", feature2, "\n")
    crosstab <- table(car_data2[[feature1]], car_data2[[feature2]])
    print(crosstab)
    cat("\n")
    
    # Plot heatmap
    crosstab_melt <- melt(crosstab)
    ggplot(crosstab_melt, aes_string(x = "Var1", y = "Var2", fill = "value")) +
      geom_tile() +
      labs(title = paste("Heatmap of", feature1, "and", feature2), x = feature1, y = feature2) +
      scale_fill_gradient(low = "white", high = "blue") +
      theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
      theme_minimal()
  }
}
## Cross-tabulation between region_code and segment 
##      
##          A   B1   B2   C1   C2 Utility
##   C1   777   74  305   74  219      19
##   C10 1350  177  836  170  564      58
##   C11  372   77  457   86  198      22
##   C12  321  118  627  113  372      38
##   C13  732  248 1181  203  996      63
##   C14  477  330 1404  286 1071      92
##   C15  225   44  229   60  188      25
##   C16  287   29   31   17   32       5
##   C17  276   32  107   20   51       6
##   C18  179   13   28    3   19       0
##   C19  201   64  311   60  288      28
##   C2  2017  557 2285  542 1757     184
##   C20   59    6   24    6   14       0
##   C21  131   32  125   14   72       5
##   C22   87   17   62    8   29       4
##   C3  3471  336 1036  256  896     106
##   C4   295   51  131   48  126      14
##   C5  2855  528 1721  431 1308     136
##   C6   343   76  255   36  164      16
##   C7   742  196  610  116  458      45
##   C8  1097  986 5757  820 4699     295
##   C9  1027  182  792  188  497      48
## 
## Cross-tabulation between region_code and model 
##      
##         M1  M10  M11   M2   M3   M4   M5   M6   M7   M8   M9
##   C1   735   19    4   29   42  219   30  229   46   74   41
##   C10 1232   58   23   43  118  564   80  618  138  177  104
##   C11  317   22    8   14   55  198   26  301  130   77   64
##   C12  242   38    8   27   79  372   59  474   94  118   78
##   C13  566   63   18   66  166  996   99  895  187  248  119
##   C14  329   92   15   93  148 1071  129 1024  251  330  178
##   C15  194   25    3   18   31  188   24  164   41   44   39
##   C16  280    5    3    4    7   32    0   26    5   29   10
##   C17  268    6    1    7    8   51   12   84   11   32   12
##   C18  175    0    1    0    4   19    1   22    5   13    2
##   C19  164   28    5   25   37  288   38  226   47   64   30
##   C2  1599  184   48  181  418 1757  215 1723  347  557  313
##   C20   55    0    1    3    4   14    0   17    7    6    2
##   C21  121    5    5    4   10   72   11   88   26   32    5
##   C22   78    4    0    4    9   29    5   45   12   17    4
##   C3  3307  106   39   78  164  896  101  748  187  336  139
##   C4   272   14    1   19   23  126   13   94   24   51   28
##   C5  2546  136   54  118  309 1308  229 1191  301  528  259
##   C6   314   16    1   15   29  164   16  194   45   76   20
##   C7   680   45    7   24   62  458   46  461  103  196   85
##   C8   562  295  100  251  535 4699  401 4602  754  986  469
##   C9   912   48   18   57  115  497   63  550  179  182  113
## 
## Cross-tabulation between region_code and fuel_type 
##      
##        CNG Diesel Petrol
##   C1   828    290    350
##   C10 1467    748    940
##   C11  416    288    508
##   C12  398    509    682
##   C13  877   1214   1332
##   C14  751   1378   1531
##   C15  263    251    257
##   C16  314     42     45
##   C17  306     75    111
##   C18  188     22     32
##   C19  256    356    340
##   C2  2340   2285   2717
##   C20   61     16     32
##   C21  158     88    133
##   C22   99     38     70
##   C3  3749   1136   1216
##   C4   337    167    161
##   C5  3210   1796   1973
##   C6   406    200    284
##   C7   921    589    657
##   C8  1843   5569   6242
##   C9  1142    673    919
## 
## Cross-tabulation between region_code and max_torque 
##      
##       113Nm@4400rpm 170Nm@4000rpm 200Nm@1750rpm 200Nm@3000rpm 250Nm@2750rpm
##   C1            304             4            41            30           219
##   C10           799            23           104            80           564
##   C11           445             8            64            26           198
##   C12           595             8            78            59           372
##   C13          1148            18           119            99           996
##   C14          1368            15           178           129          1071
##   C15           223             3            39            24           188
##   C16            35             3            10             0            32
##   C17           102             1            12            12            51
##   C18            27             1             2             1            19
##   C19           298             5            30            38           288
##   C2           2251            48           313           215          1757
##   C20            27             1             2             0            14
##   C21           118             5             5            11            72
##   C22            61             0             4             5            29
##   C3           1013            39           139           101           896
##   C4            137             1            28            13           126
##   C5           1610            54           259           229          1308
##   C6            254             1            20            16           164
##   C7            588             7            85            46           458
##   C8           5607           100           469           401          4699
##   C9            786            18           113            63           497
##      
##       60Nm@3500rpm 82.1Nm@3400rpm 85Nm@3000rpm 91Nm@4250rpm
##   C1           735             74           19           42
##   C10         1232            177           58          118
##   C11          317             77           22           55
##   C12          242            118           38           79
##   C13          566            248           63          166
##   C14          329            330           92          148
##   C15          194             44           25           31
##   C16          280             29            5            7
##   C17          268             32            6            8
##   C18          175             13            0            4
##   C19          164             64           28           37
##   C2          1599            557          184          418
##   C20           55              6            0            4
##   C21          121             32            5           10
##   C22           78             17            4            9
##   C3          3307            336          106          164
##   C4           272             51           14           23
##   C5          2546            528          136          309
##   C6           314             76           16           29
##   C7           680            196           45           62
##   C8           562            986          295          535
##   C9           912            182           48          115
## 
## Cross-tabulation between region_code and max_power 
##      
##       113.45bhp@4000rpm 118.36bhp@5500rpm 40.36bhp@6000rpm 55.92bhp@5300rpm
##   C1                219                 4              735               74
##   C10               564                23             1232              177
##   C11               198                 8              317               77
##   C12               372                 8              242              118
##   C13               996                18              566              248
##   C14              1071                15              329              330
##   C15               188                 3              194               44
##   C16                32                 3              280               29
##   C17                51                 1              268               32
##   C18                19                 1              175               13
##   C19               288                 5              164               64
##   C2               1757                48             1599              557
##   C20                14                 1               55                6
##   C21                72                 5              121               32
##   C22                29                 0               78               17
##   C3                896                39             3307              336
##   C4                126                 1              272               51
##   C5               1308                54             2546              528
##   C6                164                 1              314               76
##   C7                458                 7              680              196
##   C8               4699               100              562              986
##   C9                497                18              912              182
##      
##       61.68bhp@6000rpm 67.06bhp@5500rpm 88.50bhp@6000rpm 88.77bhp@4000rpm
##   C1                19               42              304               30
##   C10               58              118              799               80
##   C11               22               55              445               26
##   C12               38               79              595               59
##   C13               63              166             1148               99
##   C14               92              148             1368              129
##   C15               25               31              223               24
##   C16                5                7               35                0
##   C17                6                8              102               12
##   C18                0                4               27                1
##   C19               28               37              298               38
##   C2               184              418             2251              215
##   C20                0                4               27                0
##   C21                5               10              118               11
##   C22                4                9               61                5
##   C3               106              164             1013              101
##   C4                14               23              137               13
##   C5               136              309             1610              229
##   C6                16               29              254               16
##   C7                45               62              588               46
##   C8               295              535             5607              401
##   C9                48              115              786               63
##      
##       97.89bhp@3600rpm
##   C1                41
##   C10              104
##   C11               64
##   C12               78
##   C13              119
##   C14              178
##   C15               39
##   C16               10
##   C17               12
##   C18                2
##   C19               30
##   C2               313
##   C20                2
##   C21                5
##   C22                4
##   C3               139
##   C4                28
##   C5               259
##   C6                20
##   C7                85
##   C8               469
##   C9               113
## 
## Cross-tabulation between region_code and engine_type 
##      
##       1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet 1.5 L U2 CRDi
##   C1       42                    46                 29           219
##   C10     118                   138                 43           564
##   C11      55                   130                 14           198
##   C12      79                    94                 27           372
##   C13     166                   187                 66           996
##   C14     148                   251                 93          1071
##   C15      31                    41                 18           188
##   C16       7                     5                  4            32
##   C17       8                    11                  7            51
##   C18       4                     5                  0            19
##   C19      37                    47                 25           288
##   C2      418                   347                181          1757
##   C20       4                     7                  3            14
##   C21      10                    26                  4            72
##   C22       9                    12                  4            29
##   C3      164                   187                 78           896
##   C4       23                    24                 19           126
##   C5      309                   301                118          1308
##   C6       29                    45                 15           164
##   C7       62                   103                 24           458
##   C8      535                   754                251          4699
##   C9      115                   179                 57           497
##      
##       1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron F8D Petrol Engine
##   C1                         30                         4               735
##   C10                        80                        23              1232
##   C11                        26                         8               317
##   C12                        59                         8               242
##   C13                        99                        18               566
##   C14                       129                        15               329
##   C15                        24                         3               194
##   C16                         0                         3               280
##   C17                        12                         1               268
##   C18                         1                         1               175
##   C19                        38                         5               164
##   C2                        215                        48              1599
##   C20                         0                         1                55
##   C21                        11                         5               121
##   C22                         5                         0                78
##   C3                        101                        39              3307
##   C4                         13                         1               272
##   C5                        229                        54              2546
##   C6                         16                         1               314
##   C7                         46                         7               680
##   C8                        401                       100               562
##   C9                         63                        18               912
##      
##       G12B i-DTEC K Series Dual jet K10C
##   C1    19     41               229   74
##   C10   58    104               618  177
##   C11   22     64               301   77
##   C12   38     78               474  118
##   C13   63    119               895  248
##   C14   92    178              1024  330
##   C15   25     39               164   44
##   C16    5     10                26   29
##   C17    6     12                84   32
##   C18    0      2                22   13
##   C19   28     30               226   64
##   C2   184    313              1723  557
##   C20    0      2                17    6
##   C21    5      5                88   32
##   C22    4      4                45   17
##   C3   106    139               748  336
##   C4    14     28                94   51
##   C5   136    259              1191  528
##   C6    16     20               194   76
##   C7    45     85               461  196
##   C8   295    469              4602  986
##   C9    48    113               550  182
## 
## Cross-tabulation between region_code and rear_brakes_type 
##      
##       Disc Drum
##   C1   219 1249
##   C10  564 2591
##   C11  198 1014
##   C12  372 1217
##   C13  996 2427
##   C14 1071 2589
##   C15  188  583
##   C16   32  369
##   C17   51  441
##   C18   19  223
##   C19  288  664
##   C2  1757 5585
##   C20   14   95
##   C21   72  307
##   C22   29  178
##   C3   896 5205
##   C4   126  539
##   C5  1308 5671
##   C6   164  726
##   C7   458 1709
##   C8  4699 8955
##   C9   497 2237
## 
## Cross-tabulation between region_code and transmission_type 
##      
##       Automatic Manual
##   C1        336   1132
##   C10       863   2292
##   C11       397    815
##   C12       572   1017
##   C13      1415   2008
##   C14      1563   2097
##   C15       278    493
##   C16        48    353
##   C17        77    415
##   C18        28    214
##   C19       397    555
##   C2       2703   4639
##   C20        28     81
##   C21       112    267
##   C22        54    153
##   C3       1325   4776
##   C4        192    473
##   C5       2036   4943
##   C6        253    637
##   C7        647   1520
##   C8       6239   7415
##   C9        848   1886
## 
## Cross-tabulation between region_code and steering_type 
##      
##       Electric Manual Power
##   C1       417     19  1032
##   C10     1101     58  1996
##   C11      590     22   600
##   C12      811     38   740
##   C13     1532     63  1828
##   C14     1823     92  1745
##   C15      317     25   429
##   C16       52      5   344
##   C17      134      6   352
##   C18       34      0   208
##   C19      403     28   521
##   C2      3197    184  3961
##   C20       33      0    76
##   C21      144      5   230
##   C22       79      4   124
##   C3      1417    106  4578
##   C4       201     14   450
##   C5      2407    136  4436
##   C6       319     16   555
##   C7       781     45  1341
##   C8      7012    295  6347
##   C9      1077     48  1609
## 
## Cross-tabulation between segment and model 
##          
##              M1   M10   M11    M2    M3    M4    M5    M6    M7    M8    M9
##   A       14948     0     0     0  2373     0     0     0     0     0     0
##   B1          0     0     0     0     0     0     0     0     0  4173     0
##   B2          0     0     0     0     0     0  1598 13776  2940     0     0
##   C1          0     0   363  1080     0     0     0     0     0     0  2114
##   C2          0     0     0     0     0 14018     0     0     0     0     0
##   Utility     0  1209     0     0     0     0     0     0     0     0     0
## 
## Cross-tabulation between segment and fuel_type 
##          
##             CNG Diesel Petrol
##   A       14948      0   2373
##   B1       4173      0      0
##   B2          0   1598  16716
##   C1          0   2114   1443
##   C2          0  14018      0
##   Utility  1209      0      0
## 
## Cross-tabulation between segment and max_torque 
##          
##           113Nm@4400rpm 170Nm@4000rpm 200Nm@1750rpm 200Nm@3000rpm 250Nm@2750rpm
##   A                   0             0             0             0             0
##   B1                  0             0             0             0             0
##   B2              16716             0             0          1598             0
##   C1               1080           363          2114             0             0
##   C2                  0             0             0             0         14018
##   Utility             0             0             0             0             0
##          
##           60Nm@3500rpm 82.1Nm@3400rpm 85Nm@3000rpm 91Nm@4250rpm
##   A              14948              0            0         2373
##   B1                 0           4173            0            0
##   B2                 0              0            0            0
##   C1                 0              0            0            0
##   C2                 0              0            0            0
##   Utility            0              0         1209            0
## 
## Cross-tabulation between segment and max_power 
##          
##           113.45bhp@4000rpm 118.36bhp@5500rpm 40.36bhp@6000rpm 55.92bhp@5300rpm
##   A                       0                 0            14948                0
##   B1                      0                 0                0             4173
##   B2                      0                 0                0                0
##   C1                      0               363                0                0
##   C2                  14018                 0                0                0
##   Utility                 0                 0                0                0
##          
##           61.68bhp@6000rpm 67.06bhp@5500rpm 88.50bhp@6000rpm 88.77bhp@4000rpm
##   A                      0             2373                0                0
##   B1                     0                0                0                0
##   B2                     0                0            16716             1598
##   C1                     0                0             1080                0
##   C2                     0                0                0                0
##   Utility             1209                0                0                0
##          
##           97.89bhp@3600rpm
##   A                      0
##   B1                     0
##   B2                     0
##   C1                  2114
##   C2                     0
##   Utility                0
## 
## Cross-tabulation between segment and engine_type 
##          
##           1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet 1.5 L U2 CRDi
##   A          2373                     0                  0             0
##   B1            0                     0                  0             0
##   B2            0                  2940                  0             0
##   C1            0                     0               1080             0
##   C2            0                     0                  0         14018
##   Utility       0                     0                  0             0
##          
##           1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron F8D Petrol Engine
##   A                               0                         0             14948
##   B1                              0                         0                 0
##   B2                           1598                         0                 0
##   C1                              0                       363                 0
##   C2                              0                         0                 0
##   Utility                         0                         0                 0
##          
##            G12B i-DTEC K Series Dual jet  K10C
##   A           0      0                 0     0
##   B1          0      0                 0  4173
##   B2          0      0             13776     0
##   C1          0   2114                 0     0
##   C2          0      0                 0     0
##   Utility  1209      0                 0     0
## 
## Cross-tabulation between segment and rear_brakes_type 
##          
##            Disc  Drum
##   A           0 17321
##   B1          0  4173
##   B2          0 18314
##   C1          0  3557
##   C2      14018     0
##   Utility     0  1209
## 
## Cross-tabulation between segment and transmission_type 
##          
##           Automatic Manual
##   A            2373  14948
##   B1              0   4173
##   B2           2940  15374
##   C1           1080   2477
##   C2          14018      0
##   Utility         0   1209
## 
## Cross-tabulation between segment and steering_type 
##          
##           Electric Manual Power
##   A           2373      0 14948
##   B1             0      0  4173
##   B2         18314      0     0
##   C1          3194      0   363
##   C2             0      0 14018
##   Utility        0   1209     0
## 
## Cross-tabulation between model and fuel_type 
##      
##         CNG Diesel Petrol
##   M1  14948      0      0
##   M10  1209      0      0
##   M11     0      0    363
##   M2      0      0   1080
##   M3      0      0   2373
##   M4      0  14018      0
##   M5      0   1598      0
##   M6      0      0  13776
##   M7      0      0   2940
##   M8   4173      0      0
##   M9      0   2114      0
## 
## Cross-tabulation between model and max_torque 
##      
##       113Nm@4400rpm 170Nm@4000rpm 200Nm@1750rpm 200Nm@3000rpm 250Nm@2750rpm
##   M1              0             0             0             0             0
##   M10             0             0             0             0             0
##   M11             0           363             0             0             0
##   M2           1080             0             0             0             0
##   M3              0             0             0             0             0
##   M4              0             0             0             0         14018
##   M5              0             0             0          1598             0
##   M6          13776             0             0             0             0
##   M7           2940             0             0             0             0
##   M8              0             0             0             0             0
##   M9              0             0          2114             0             0
##      
##       60Nm@3500rpm 82.1Nm@3400rpm 85Nm@3000rpm 91Nm@4250rpm
##   M1         14948              0            0            0
##   M10            0              0         1209            0
##   M11            0              0            0            0
##   M2             0              0            0            0
##   M3             0              0            0         2373
##   M4             0              0            0            0
##   M5             0              0            0            0
##   M6             0              0            0            0
##   M7             0              0            0            0
##   M8             0           4173            0            0
##   M9             0              0            0            0
## 
## Cross-tabulation between model and max_power 
##      
##       113.45bhp@4000rpm 118.36bhp@5500rpm 40.36bhp@6000rpm 55.92bhp@5300rpm
##   M1                  0                 0            14948                0
##   M10                 0                 0                0                0
##   M11                 0               363                0                0
##   M2                  0                 0                0                0
##   M3                  0                 0                0                0
##   M4              14018                 0                0                0
##   M5                  0                 0                0                0
##   M6                  0                 0                0                0
##   M7                  0                 0                0                0
##   M8                  0                 0                0             4173
##   M9                  0                 0                0                0
##      
##       61.68bhp@6000rpm 67.06bhp@5500rpm 88.50bhp@6000rpm 88.77bhp@4000rpm
##   M1                 0                0                0                0
##   M10             1209                0                0                0
##   M11                0                0                0                0
##   M2                 0                0             1080                0
##   M3                 0             2373                0                0
##   M4                 0                0                0                0
##   M5                 0                0                0             1598
##   M6                 0                0            13776                0
##   M7                 0                0             2940                0
##   M8                 0                0                0                0
##   M9                 0                0                0                0
##      
##       97.89bhp@3600rpm
##   M1                 0
##   M10                0
##   M11                0
##   M2                 0
##   M3                 0
##   M4                 0
##   M5                 0
##   M6                 0
##   M7                 0
##   M8                 0
##   M9              2114
## 
## Cross-tabulation between model and engine_type 
##      
##       1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet 1.5 L U2 CRDi
##   M1        0                     0                  0             0
##   M10       0                     0                  0             0
##   M11       0                     0                  0             0
##   M2        0                     0               1080             0
##   M3     2373                     0                  0             0
##   M4        0                     0                  0         14018
##   M5        0                     0                  0             0
##   M6        0                     0                  0             0
##   M7        0                  2940                  0             0
##   M8        0                     0                  0             0
##   M9        0                     0                  0             0
##      
##       1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron F8D Petrol Engine
##   M1                          0                         0             14948
##   M10                         0                         0                 0
##   M11                         0                       363                 0
##   M2                          0                         0                 0
##   M3                          0                         0                 0
##   M4                          0                         0                 0
##   M5                       1598                         0                 0
##   M6                          0                         0                 0
##   M7                          0                         0                 0
##   M8                          0                         0                 0
##   M9                          0                         0                 0
##      
##        G12B i-DTEC K Series Dual jet  K10C
##   M1      0      0                 0     0
##   M10  1209      0                 0     0
##   M11     0      0                 0     0
##   M2      0      0                 0     0
##   M3      0      0                 0     0
##   M4      0      0                 0     0
##   M5      0      0                 0     0
##   M6      0      0             13776     0
##   M7      0      0                 0     0
##   M8      0      0                 0  4173
##   M9      0   2114                 0     0
## 
## Cross-tabulation between model and rear_brakes_type 
##      
##        Disc  Drum
##   M1      0 14948
##   M10     0  1209
##   M11     0   363
##   M2      0  1080
##   M3      0  2373
##   M4  14018     0
##   M5      0  1598
##   M6      0 13776
##   M7      0  2940
##   M8      0  4173
##   M9      0  2114
## 
## Cross-tabulation between model and transmission_type 
##      
##       Automatic Manual
##   M1          0  14948
##   M10         0   1209
##   M11         0    363
##   M2       1080      0
##   M3       2373      0
##   M4      14018      0
##   M5          0   1598
##   M6          0  13776
##   M7       2940      0
##   M8          0   4173
##   M9          0   2114
## 
## Cross-tabulation between model and steering_type 
##      
##       Electric Manual Power
##   M1         0      0 14948
##   M10        0   1209     0
##   M11        0      0   363
##   M2      1080      0     0
##   M3      2373      0     0
##   M4         0      0 14018
##   M5      1598      0     0
##   M6     13776      0     0
##   M7      2940      0     0
##   M8         0      0  4173
##   M9      2114      0     0
## 
## Cross-tabulation between fuel_type and max_torque 
##         
##          113Nm@4400rpm 170Nm@4000rpm 200Nm@1750rpm 200Nm@3000rpm 250Nm@2750rpm
##   CNG                0             0             0             0             0
##   Diesel             0             0          2114          1598         14018
##   Petrol         17796           363             0             0             0
##         
##          60Nm@3500rpm 82.1Nm@3400rpm 85Nm@3000rpm 91Nm@4250rpm
##   CNG           14948           4173         1209            0
##   Diesel            0              0            0            0
##   Petrol            0              0            0         2373
## 
## Cross-tabulation between fuel_type and max_power 
##         
##          113.45bhp@4000rpm 118.36bhp@5500rpm 40.36bhp@6000rpm 55.92bhp@5300rpm
##   CNG                    0                 0            14948             4173
##   Diesel             14018                 0                0                0
##   Petrol                 0               363                0                0
##         
##          61.68bhp@6000rpm 67.06bhp@5500rpm 88.50bhp@6000rpm 88.77bhp@4000rpm
##   CNG                1209                0                0                0
##   Diesel                0                0                0             1598
##   Petrol                0             2373            17796                0
##         
##          97.89bhp@3600rpm
##   CNG                   0
##   Diesel             2114
##   Petrol                0
## 
## Cross-tabulation between fuel_type and engine_type 
##         
##          1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet 1.5 L U2 CRDi
##   CNG          0                     0                  0             0
##   Diesel       0                     0                  0         14018
##   Petrol    2373                  2940               1080             0
##         
##          1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron F8D Petrol Engine
##   CNG                            0                         0             14948
##   Diesel                      1598                         0                 0
##   Petrol                         0                       363                 0
##         
##           G12B i-DTEC K Series Dual jet  K10C
##   CNG     1209      0                 0  4173
##   Diesel     0   2114                 0     0
##   Petrol     0      0             13776     0
## 
## Cross-tabulation between fuel_type and rear_brakes_type 
##         
##           Disc  Drum
##   CNG        0 20330
##   Diesel 14018  3712
##   Petrol     0 20532
## 
## Cross-tabulation between fuel_type and transmission_type 
##         
##          Automatic Manual
##   CNG            0  20330
##   Diesel     14018   3712
##   Petrol      6393  14139
## 
## Cross-tabulation between fuel_type and steering_type 
##         
##          Electric Manual Power
##   CNG           0   1209 19121
##   Diesel     3712      0 14018
##   Petrol    20169      0   363
## 
## Cross-tabulation between max_torque and max_power 
##                 
##                  113.45bhp@4000rpm 118.36bhp@5500rpm 40.36bhp@6000rpm
##   113Nm@4400rpm                  0                 0                0
##   170Nm@4000rpm                  0               363                0
##   200Nm@1750rpm                  0                 0                0
##   200Nm@3000rpm                  0                 0                0
##   250Nm@2750rpm              14018                 0                0
##   60Nm@3500rpm                   0                 0            14948
##   82.1Nm@3400rpm                 0                 0                0
##   85Nm@3000rpm                   0                 0                0
##   91Nm@4250rpm                   0                 0                0
##                 
##                  55.92bhp@5300rpm 61.68bhp@6000rpm 67.06bhp@5500rpm
##   113Nm@4400rpm                 0                0                0
##   170Nm@4000rpm                 0                0                0
##   200Nm@1750rpm                 0                0                0
##   200Nm@3000rpm                 0                0                0
##   250Nm@2750rpm                 0                0                0
##   60Nm@3500rpm                  0                0                0
##   82.1Nm@3400rpm             4173                0                0
##   85Nm@3000rpm                  0             1209                0
##   91Nm@4250rpm                  0                0             2373
##                 
##                  88.50bhp@6000rpm 88.77bhp@4000rpm 97.89bhp@3600rpm
##   113Nm@4400rpm             17796                0                0
##   170Nm@4000rpm                 0                0                0
##   200Nm@1750rpm                 0                0             2114
##   200Nm@3000rpm                 0             1598                0
##   250Nm@2750rpm                 0                0                0
##   60Nm@3500rpm                  0                0                0
##   82.1Nm@3400rpm                0                0                0
##   85Nm@3000rpm                  0                0                0
##   91Nm@4250rpm                  0                0                0
## 
## Cross-tabulation between max_torque and engine_type 
##                 
##                  1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet 1.5 L U2 CRDi
##   113Nm@4400rpm        0                  2940               1080             0
##   170Nm@4000rpm        0                     0                  0             0
##   200Nm@1750rpm        0                     0                  0             0
##   200Nm@3000rpm        0                     0                  0             0
##   250Nm@2750rpm        0                     0                  0         14018
##   60Nm@3500rpm         0                     0                  0             0
##   82.1Nm@3400rpm       0                     0                  0             0
##   85Nm@3000rpm         0                     0                  0             0
##   91Nm@4250rpm      2373                     0                  0             0
##                 
##                  1.5 Turbocharged Revotorq 1.5 Turbocharged Revotron
##   113Nm@4400rpm                          0                         0
##   170Nm@4000rpm                          0                       363
##   200Nm@1750rpm                          0                         0
##   200Nm@3000rpm                       1598                         0
##   250Nm@2750rpm                          0                         0
##   60Nm@3500rpm                           0                         0
##   82.1Nm@3400rpm                         0                         0
##   85Nm@3000rpm                           0                         0
##   91Nm@4250rpm                           0                         0
##                 
##                  F8D Petrol Engine  G12B i-DTEC K Series Dual jet  K10C
##   113Nm@4400rpm                  0     0      0             13776     0
##   170Nm@4000rpm                  0     0      0                 0     0
##   200Nm@1750rpm                  0     0   2114                 0     0
##   200Nm@3000rpm                  0     0      0                 0     0
##   250Nm@2750rpm                  0     0      0                 0     0
##   60Nm@3500rpm               14948     0      0                 0     0
##   82.1Nm@3400rpm                 0     0      0                 0  4173
##   85Nm@3000rpm                   0  1209      0                 0     0
##   91Nm@4250rpm                   0     0      0                 0     0
## 
## Cross-tabulation between max_torque and rear_brakes_type 
##                 
##                   Disc  Drum
##   113Nm@4400rpm      0 17796
##   170Nm@4000rpm      0   363
##   200Nm@1750rpm      0  2114
##   200Nm@3000rpm      0  1598
##   250Nm@2750rpm  14018     0
##   60Nm@3500rpm       0 14948
##   82.1Nm@3400rpm     0  4173
##   85Nm@3000rpm       0  1209
##   91Nm@4250rpm       0  2373
## 
## Cross-tabulation between max_torque and transmission_type 
##                 
##                  Automatic Manual
##   113Nm@4400rpm       4020  13776
##   170Nm@4000rpm          0    363
##   200Nm@1750rpm          0   2114
##   200Nm@3000rpm          0   1598
##   250Nm@2750rpm      14018      0
##   60Nm@3500rpm           0  14948
##   82.1Nm@3400rpm         0   4173
##   85Nm@3000rpm           0   1209
##   91Nm@4250rpm        2373      0
## 
## Cross-tabulation between max_torque and steering_type 
##                 
##                  Electric Manual Power
##   113Nm@4400rpm     17796      0     0
##   170Nm@4000rpm         0      0   363
##   200Nm@1750rpm      2114      0     0
##   200Nm@3000rpm      1598      0     0
##   250Nm@2750rpm         0      0 14018
##   60Nm@3500rpm          0      0 14948
##   82.1Nm@3400rpm        0      0  4173
##   85Nm@3000rpm          0   1209     0
##   91Nm@4250rpm       2373      0     0
## 
## Cross-tabulation between max_power and engine_type 
##                    
##                     1.0 SCe 1.2 L K Series Engine 1.2 L K12N Dualjet
##   113.45bhp@4000rpm       0                     0                  0
##   118.36bhp@5500rpm       0                     0                  0
##   40.36bhp@6000rpm        0                     0                  0
##   55.92bhp@5300rpm        0                     0                  0
##   61.68bhp@6000rpm        0                     0                  0
##   67.06bhp@5500rpm     2373                     0                  0
##   88.50bhp@6000rpm        0                  2940               1080
##   88.77bhp@4000rpm        0                     0                  0
##   97.89bhp@3600rpm        0                     0                  0
##                    
##                     1.5 L U2 CRDi 1.5 Turbocharged Revotorq
##   113.45bhp@4000rpm         14018                         0
##   118.36bhp@5500rpm             0                         0
##   40.36bhp@6000rpm              0                         0
##   55.92bhp@5300rpm              0                         0
##   61.68bhp@6000rpm              0                         0
##   67.06bhp@5500rpm              0                         0
##   88.50bhp@6000rpm              0                         0
##   88.77bhp@4000rpm              0                      1598
##   97.89bhp@3600rpm              0                         0
##                    
##                     1.5 Turbocharged Revotron F8D Petrol Engine  G12B i-DTEC
##   113.45bhp@4000rpm                         0                 0     0      0
##   118.36bhp@5500rpm                       363                 0     0      0
##   40.36bhp@6000rpm                          0             14948     0      0
##   55.92bhp@5300rpm                          0                 0     0      0
##   61.68bhp@6000rpm                          0                 0  1209      0
##   67.06bhp@5500rpm                          0                 0     0      0
##   88.50bhp@6000rpm                          0                 0     0      0
##   88.77bhp@4000rpm                          0                 0     0      0
##   97.89bhp@3600rpm                          0                 0     0   2114
##                    
##                     K Series Dual jet  K10C
##   113.45bhp@4000rpm                 0     0
##   118.36bhp@5500rpm                 0     0
##   40.36bhp@6000rpm                  0     0
##   55.92bhp@5300rpm                  0  4173
##   61.68bhp@6000rpm                  0     0
##   67.06bhp@5500rpm                  0     0
##   88.50bhp@6000rpm              13776     0
##   88.77bhp@4000rpm                  0     0
##   97.89bhp@3600rpm                  0     0
## 
## Cross-tabulation between max_power and rear_brakes_type 
##                    
##                      Disc  Drum
##   113.45bhp@4000rpm 14018     0
##   118.36bhp@5500rpm     0   363
##   40.36bhp@6000rpm      0 14948
##   55.92bhp@5300rpm      0  4173
##   61.68bhp@6000rpm      0  1209
##   67.06bhp@5500rpm      0  2373
##   88.50bhp@6000rpm      0 17796
##   88.77bhp@4000rpm      0  1598
##   97.89bhp@3600rpm      0  2114
## 
## Cross-tabulation between max_power and transmission_type 
##                    
##                     Automatic Manual
##   113.45bhp@4000rpm     14018      0
##   118.36bhp@5500rpm         0    363
##   40.36bhp@6000rpm          0  14948
##   55.92bhp@5300rpm          0   4173
##   61.68bhp@6000rpm          0   1209
##   67.06bhp@5500rpm       2373      0
##   88.50bhp@6000rpm       4020  13776
##   88.77bhp@4000rpm          0   1598
##   97.89bhp@3600rpm          0   2114
## 
## Cross-tabulation between max_power and steering_type 
##                    
##                     Electric Manual Power
##   113.45bhp@4000rpm        0      0 14018
##   118.36bhp@5500rpm        0      0   363
##   40.36bhp@6000rpm         0      0 14948
##   55.92bhp@5300rpm         0      0  4173
##   61.68bhp@6000rpm         0   1209     0
##   67.06bhp@5500rpm      2373      0     0
##   88.50bhp@6000rpm     17796      0     0
##   88.77bhp@4000rpm      1598      0     0
##   97.89bhp@3600rpm      2114      0     0
## 
## Cross-tabulation between engine_type and rear_brakes_type 
##                            
##                              Disc  Drum
##   1.0 SCe                       0  2373
##   1.2 L K Series Engine         0  2940
##   1.2 L K12N Dualjet            0  1080
##   1.5 L U2 CRDi             14018     0
##   1.5 Turbocharged Revotorq     0  1598
##   1.5 Turbocharged Revotron     0   363
##   F8D Petrol Engine             0 14948
##   G12B                          0  1209
##   i-DTEC                        0  2114
##   K Series Dual jet             0 13776
##   K10C                          0  4173
## 
## Cross-tabulation between engine_type and transmission_type 
##                            
##                             Automatic Manual
##   1.0 SCe                        2373      0
##   1.2 L K Series Engine          2940      0
##   1.2 L K12N Dualjet             1080      0
##   1.5 L U2 CRDi                 14018      0
##   1.5 Turbocharged Revotorq         0   1598
##   1.5 Turbocharged Revotron         0    363
##   F8D Petrol Engine                 0  14948
##   G12B                              0   1209
##   i-DTEC                            0   2114
##   K Series Dual jet                 0  13776
##   K10C                              0   4173
## 
## Cross-tabulation between engine_type and steering_type 
##                            
##                             Electric Manual Power
##   1.0 SCe                       2373      0     0
##   1.2 L K Series Engine         2940      0     0
##   1.2 L K12N Dualjet            1080      0     0
##   1.5 L U2 CRDi                    0      0 14018
##   1.5 Turbocharged Revotorq     1598      0     0
##   1.5 Turbocharged Revotron        0      0   363
##   F8D Petrol Engine                0      0 14948
##   G12B                             0   1209     0
##   i-DTEC                        2114      0     0
##   K Series Dual jet            13776      0     0
##   K10C                             0      0  4173
## 
## Cross-tabulation between rear_brakes_type and transmission_type 
##       
##        Automatic Manual
##   Disc     14018      0
##   Drum      6393  38181
## 
## Cross-tabulation between rear_brakes_type and steering_type 
##       
##        Electric Manual Power
##   Disc        0      0 14018
##   Drum    23881   1209 19484
## 
## Cross-tabulation between transmission_type and steering_type 
##            
##             Electric Manual Power
##   Automatic     6393      0 14018
##   Manual       17488   1209 19484
# Perform chi-squared tests of independence for pairs of categorical features
for (i in 1:(length(categorical_features) - 1)) {
  for (j in (i + 1):length(categorical_features)) {
    feature1 <- categorical_features[i]
    feature2 <- categorical_features[j]
    
    cat("Chi-squared test between", feature1, "and", feature2, "\n")
    crosstab <- table(car_data2[[feature1]], car_data2[[feature2]])
    chi_test <- chisq.test(crosstab)
    print(chi_test)
    cat("\n")
  }
}
## Chi-squared test between region_code and segment
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 8602.2, df = 105, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and model
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 10283, df = 210, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and fuel_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 7170.5, df = 42, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and max_torque
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 10021, df = 168, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and max_power
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 10021, df = 168, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and engine_type
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 10283, df = 210, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 1757, df = 21, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 1953.3, df = 21, p-value < 2.2e-16
## 
## 
## Chi-squared test between region_code and steering_type
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 2364.3, df = 42, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and model 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 292960, df = 50, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and fuel_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 91174, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and max_torque 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 273004, df = 40, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and max_power 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 273004, df = 40, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and engine_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 292960, df = 50, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 5, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 35385, df = 5, p-value < 2.2e-16
## 
## 
## Chi-squared test between segment and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 107208, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and fuel_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 20, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and max_torque
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 468736, df = 80, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and max_power
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 468736, df = 80, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and engine_type
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 585920, df = 100, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between model and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 20, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and max_torque 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 16, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and max_power 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 16, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and engine_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 20, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 42467, df = 2, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 26270, df = 2, p-value < 2.2e-16
## 
## 
## Chi-squared test between fuel_type and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 46256, df = 4, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_torque and max_power
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 468736, df = 64, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_torque and engine_type
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 468736, df = 80, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_torque and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 8, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_torque and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 44883, df = 8, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_torque and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 16, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_power and engine_type
## Warning in chisq.test(crosstab): Chi-squared approximation may be incorrect
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 468736, df = 80, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_power and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 8, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_power and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 44883, df = 8, p-value < 2.2e-16
## 
## 
## Chi-squared test between max_power and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 16, p-value < 2.2e-16
## 
## 
## Chi-squared test between engine_type and rear_brakes_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between engine_type and transmission_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 58592, df = 10, p-value < 2.2e-16
## 
## 
## Chi-squared test between engine_type and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 117184, df = 20, p-value < 2.2e-16
## 
## 
## Chi-squared test between rear_brakes_type and transmission_type 
## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  crosstab
## X-squared = 34465, df = 1, p-value < 2.2e-16
## 
## 
## Chi-squared test between rear_brakes_type and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 13800, df = 2, p-value < 2.2e-16
## 
## 
## Chi-squared test between transmission_type and steering_type 
## 
##  Pearson's Chi-squared test
## 
## data:  crosstab
## X-squared = 2055.2, df = 2, p-value < 2.2e-16
# Perform MCA
mca_result <- MCA(categorical_data, graph = TRUE)

# View MCA results
print(mca_result)
## **Results of the Multiple Correspondence Analysis (MCA)**
## The analysis was performed on 58592 individuals, described by 10 variables
## *The results are available in the following objects:
## 
##    name              description                       
## 1  "$eig"            "eigenvalues"                     
## 2  "$var"            "results for the variables"       
## 3  "$var$coord"      "coord. of the categories"        
## 4  "$var$cos2"       "cos2 for the categories"         
## 5  "$var$contrib"    "contributions of the categories" 
## 6  "$var$v.test"     "v-test for the categories"       
## 7  "$var$eta2"       "coord. of variables"             
## 8  "$ind"            "results for the individuals"     
## 9  "$ind$coord"      "coord. for the individuals"      
## 10 "$ind$cos2"       "cos2 for the individuals"        
## 11 "$ind$contrib"    "contributions of the individuals"
## 12 "$call"           "intermediate results"            
## 13 "$call$marge.col" "weights of columns"              
## 14 "$call$marge.li"  "weights of rows"
# View feature contributions to the first two principal components
contrib_vars <- mca_result$var$contrib
print(contrib_vars)
##                                    Dim 1        Dim 2        Dim 3        Dim 4
## region_code_C1              1.188873e-02 7.661143e-02 2.366554e-02 5.436293e-02
## region_code_C10             1.275482e-02 4.651231e-02 1.201799e-02 4.266289e-02
## region_code_C11             1.041297e-02 2.862117e-03 2.042383e-04 5.523411e-04
## region_code_C12             4.784609e-04 2.437039e-02 4.563473e-03 7.433830e-03
## region_code_C13             1.101111e-02 2.853344e-02 2.740553e-03 8.916790e-03
## region_code_C14             1.082813e-02 8.822158e-02 2.507143e-02 8.099615e-02
## region_code_C15             5.759683e-05 6.058353e-06 2.494325e-03 6.556688e-04
## region_code_C16             9.597290e-03 9.172856e-02 1.962595e-02 2.626374e-02
## region_code_C17             1.063227e-02 3.752635e-02 1.165774e-02 1.496662e-02
## region_code_C18             6.244261e-03 5.071599e-02 1.841529e-02 2.433026e-02
## region_code_C19             4.969260e-03 3.976651e-03 5.428629e-03 1.569952e-03
## region_code_C2              7.832413e-06 5.796309e-03 6.343240e-03 3.842531e-03
## region_code_C20             1.439984e-03 4.431466e-03 3.806086e-03 4.038373e-03
## region_code_C21             1.373613e-03 1.113419e-03 1.509013e-03 4.859739e-08
## region_code_C22             2.789883e-03 2.590044e-03 8.427473e-04 6.277121e-04
## region_code_C3              4.731777e-02 5.352446e-01 9.976066e-02 2.637670e-01
## region_code_C4              1.027476e-03 2.227350e-02 2.747249e-03 4.018844e-03
## region_code_C5              1.525562e-02 1.095842e-01 2.081670e-02 2.395656e-02
## region_code_C6              3.611790e-03 9.637010e-03 2.939544e-03 5.455501e-04
## region_code_C7              1.796318e-03 1.526114e-02 1.959029e-03 7.025380e-04
## region_code_C8              1.442865e-01 6.875951e-01 1.264998e-01 2.463113e-01
## region_code_C9              1.005325e-02 1.005755e-02 5.699026e-03 9.455579e-03
## segment_A                   7.248716e-01 4.267364e+00 1.432615e+00 4.584262e+00
## segment_B1                  1.600224e-01 1.550875e+00 3.365354e-01 1.504551e+01
## segment_B2                  2.106232e+00 5.503671e+00 3.146306e-02 2.024830e-02
## segment_C1                  6.807391e-02 5.370773e-01 5.100960e-03 8.138721e-02
## segment_C2                  9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## segment_Utility             2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## M1                          6.733230e-01 5.682184e+00 1.502397e+00 3.734041e+00
## M10                         2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## M11                         1.571259e-02 1.067648e-02 1.665963e-03 8.913886e-03
## M2                          4.860919e-02 3.566734e-01 2.994448e-03 8.976997e-04
## M3                          5.795993e-02 1.613408e-01 2.476670e-02 8.736508e-01
## M4                          9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## M5                          3.211897e-02 2.453609e-01 4.384900e-03 1.767485e-02
## M6                          2.005677e+00 4.212576e+00 1.933275e-02 1.563809e-02
## M7                          1.801491e-01 1.096613e+00 8.632541e-03 1.838568e-04
## M8                          1.600224e-01 1.550875e+00 3.365354e-01 1.504551e+01
## M9                          1.661765e-02 2.312994e-01 4.962414e-03 9.580110e-02
## CNG                         1.008794e+00 8.243476e+00 1.418348e-01 6.410743e-03
## Diesel                      7.060340e+00 2.806111e-01 8.572709e-02 1.705670e-02
## Petrol                      2.160132e+00 5.591952e+00 1.054147e-02 4.041518e-02
## 113Nm@4400rpm               2.169335e+00 5.657646e+00 3.012965e-02 1.252048e-02
## 170Nm@4000rpm               1.571259e-02 1.067648e-02 1.665963e-03 8.913886e-03
## 200Nm@1750rpm               1.661765e-02 2.312994e-01 4.962414e-03 9.580110e-02
## 200Nm@3000rpm               3.211897e-02 2.453609e-01 4.384900e-03 1.767485e-02
## 250Nm@2750rpm               9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## 60Nm@3500rpm                6.733230e-01 5.682184e+00 1.502397e+00 3.734041e+00
## 82.1Nm@3400rpm              1.600224e-01 1.550875e+00 3.365354e-01 1.504551e+01
## 85Nm@3000rpm                2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## 91Nm@4250rpm                5.795993e-02 1.613408e-01 2.476670e-02 8.736508e-01
## 113.45bhp@4000rpm           9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## 118.36bhp@5500rpm           1.571259e-02 1.067648e-02 1.665963e-03 8.913886e-03
## 40.36bhp@6000rpm            6.733230e-01 5.682184e+00 1.502397e+00 3.734041e+00
## 55.92bhp@5300rpm            1.600224e-01 1.550875e+00 3.365354e-01 1.504551e+01
## 61.68bhp@6000rpm            2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## 67.06bhp@5500rpm            5.795993e-02 1.613408e-01 2.476670e-02 8.736508e-01
## 88.50bhp@6000rpm            2.169335e+00 5.657646e+00 3.012965e-02 1.252048e-02
## 88.77bhp@4000rpm            3.211897e-02 2.453609e-01 4.384900e-03 1.767485e-02
## 97.89bhp@3600rpm            1.661765e-02 2.312994e-01 4.962414e-03 9.580110e-02
## 1.0 SCe                     5.795993e-02 1.613408e-01 2.476670e-02 8.736508e-01
## 1.2 L K Series Engine       1.801491e-01 1.096613e+00 8.632541e-03 1.838568e-04
## 1.2 L K12N Dualjet          4.860919e-02 3.566734e-01 2.994448e-03 8.976997e-04
## 1.5 L U2 CRDi               9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## 1.5 Turbocharged Revotorq   3.211897e-02 2.453609e-01 4.384900e-03 1.767485e-02
## 1.5 Turbocharged Revotron   1.571259e-02 1.067648e-02 1.665963e-03 8.913886e-03
## F8D Petrol Engine           6.733230e-01 5.682184e+00 1.502397e+00 3.734041e+00
## G12B                        2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## i-DTEC                      1.661765e-02 2.312994e-01 4.962414e-03 9.580110e-02
## K Series Dual jet           2.005677e+00 4.212576e+00 1.933275e-02 1.563809e-02
## K10C                        1.600224e-01 1.550875e+00 3.365354e-01 1.504551e+01
## Disc                        9.602995e+00 5.843873e-02 7.815939e-02 3.314534e-04
## Drum                        3.020029e+00 1.837829e-02 2.458021e-02 1.042382e-04
## transmission_type_Automatic 5.172096e+00 7.605753e-01 5.102026e-02 1.102535e-01
## transmission_type_Manual    2.764926e+00 4.065924e-01 2.727468e-02 5.893991e-02
## steering_type_Electric      2.050771e+00 6.008113e+00 1.913280e-02 5.121770e-03
## steering_type_Manual        2.402779e-01 1.162525e+00 1.477136e+01 6.946031e-03
## steering_type_Power         1.695680e+00 3.476922e+00 7.172272e-01 5.814853e-03
##                                    Dim 5
## region_code_C1              6.323202e-04
## region_code_C10             1.178740e-03
## region_code_C11             1.499562e-03
## region_code_C12             2.958907e-04
## region_code_C13             2.664317e-03
## region_code_C14             2.173711e-04
## region_code_C15             2.554725e-03
## region_code_C16             1.481699e-03
## region_code_C17             5.227576e-05
## region_code_C18             7.197287e-05
## region_code_C19             3.367623e-04
## region_code_C2              3.165051e-03
## region_code_C20             1.516214e-05
## region_code_C21             1.513819e-03
## region_code_C22             8.472941e-04
## region_code_C3              2.245060e-03
## region_code_C4              2.326016e-03
## region_code_C5              1.031931e-02
## region_code_C6              2.397191e-03
## region_code_C7              2.109112e-04
## region_code_C8              4.075140e-02
## region_code_C9              3.085073e-03
## segment_A                   1.600214e-02
## segment_B1                  1.846254e-01
## segment_B2                  1.053003e+00
## segment_C1                  1.455306e+01
## segment_C2                  1.265729e-01
## segment_Utility             3.726538e-03
## M1                          3.627505e-03
## M10                         3.726538e-03
## M11                         1.670879e+00
## M2                          2.190776e-01
## M3                          2.429777e-01
## M4                          1.265729e-01
## M5                          7.403493e-02
## M6                          1.017192e+00
## M7                          3.347305e-01
## M8                          1.846254e-01
## M9                          1.663198e+01
## CNG                         2.493646e-02
## Diesel                      1.377247e+00
## Petrol                      8.712612e-01
## 113Nm@4400rpm               1.014486e+00
## 170Nm@4000rpm               1.670879e+00
## 200Nm@1750rpm               1.663198e+01
## 200Nm@3000rpm               7.403493e-02
## 250Nm@2750rpm               1.265729e-01
## 60Nm@3500rpm                3.627505e-03
## 82.1Nm@3400rpm              1.846254e-01
## 85Nm@3000rpm                3.726538e-03
## 91Nm@4250rpm                2.429777e-01
## 113.45bhp@4000rpm           1.265729e-01
## 118.36bhp@5500rpm           1.670879e+00
## 40.36bhp@6000rpm            3.627505e-03
## 55.92bhp@5300rpm            1.846254e-01
## 61.68bhp@6000rpm            3.726538e-03
## 67.06bhp@5500rpm            2.429777e-01
## 88.50bhp@6000rpm            1.014486e+00
## 88.77bhp@4000rpm            7.403493e-02
## 97.89bhp@3600rpm            1.663198e+01
## 1.0 SCe                     2.429777e-01
## 1.2 L K Series Engine       3.347305e-01
## 1.2 L K12N Dualjet          2.190776e-01
## 1.5 L U2 CRDi               1.265729e-01
## 1.5 Turbocharged Revotorq   7.403493e-02
## 1.5 Turbocharged Revotron   1.670879e+00
## F8D Petrol Engine           3.627505e-03
## G12B                        3.726538e-03
## i-DTEC                      1.663198e+01
## K Series Dual jet           1.017192e+00
## K10C                        1.846254e-01
## Disc                        1.265729e-01
## Drum                        3.980571e-02
## transmission_type_Automatic 3.304209e-01
## transmission_type_Manual    1.766381e-01
## steering_type_Electric      6.703357e-02
## steering_type_Manual        3.726538e-03
## steering_type_Power         4.284768e-02
# Visualize feature contributions to the first principal component
fviz_contrib(mca_result, choice = "var", axes = 1, top = 10)

# Visualize feature contributions to the second principal component
fviz_contrib(mca_result, choice = "var", axes = 2, top = 10)

# Visualize variable coordinates with color representing cos2 values
fviz_mca_var(mca_result, 
             col.var = "cos2", # Color by cos2 values
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE)  # Avoid label overlap

# List of categorical features
categorical_features <- c(
  'region_code', 'segment', 'model', 'fuel_type', 'max_torque', 'max_power',
  'engine_type', 'rear_brakes_type', 'transmission_type', 'steering_type'
)

# Extract categorical feature data
categorical_data <- car_data2 %>%
  select(all_of(categorical_features))

# Perform MCA
mca_result <- MCA(categorical_data, graph = FALSE)

# Visualize only the most contributing variables (e.g., top 20)
fviz_mca_var(mca_result, 
             title = "MCA - Variables (Top 20)", 
             label = "var", # Label type: "var" or "ind"
             select.var = list(contrib = 20), # Show only the top 20 contributing variables
             repel = TRUE)  # Avoid label overlap

# Specify the categories to display
specific_categories <- c("Diesel", "Petrol", "CNG", "Automatic", "Manual")

# Visualize only the specified categories
fviz_mca_var(mca_result, 
             title = "MCA - Specific Variables", 
             label = "var", # Label type: "var" or "ind"
             select.var = list(name = specific_categories), # Display only specific categories
             repel = TRUE)  # Avoid label overlap

# Read data
car_data2 <- read.csv("~/Downloads/car_data2.csv")

# List of numerical features
numeric_features <- c(
  'subscription_length', 'vehicle_age', 'customer_age', 'region_density',
  'airbags', 'displacement', 'cylinder', 'turning_radius', 'length', 'width',
  'gross_weight', 'ncap_rating'
)

# Extract numerical feature data
numeric_data <- car_data2 %>%
  select(all_of(numeric_features))

# Standardize data
scaled_data <- scale(numeric_data)

# Randomly sample a portion of the data
set.seed(123)
sample_indices <- sample(1:nrow(scaled_data), size = 10000)
sample_data <- scaled_data[sample_indices, ]

# Determine the optimal number of clusters using the elbow method
fviz_nbclust(sample_data, kmeans, method = "wss")

# Determine the optimal number of clusters using the silhouette method
fviz_nbclust(sample_data, kmeans, method = "silhouette")

# Assume 4 clusters are chosen
set.seed(123)
kmeans_result <- kmeans(scaled_data, centers = 4, nstart = 25)
## Warning: Quick-TRANSfer stage steps exceeded maximum (= 2929600)
# View clustering results
print(kmeans_result)
## K-means clustering with 4 clusters of sizes 14018, 15068, 21872, 7634
## 
## Cluster means:
##   subscription_length vehicle_age customer_age region_density    airbags
## 1          0.16812731   0.3473222 -0.005357985    -0.10329599  1.5621898
## 2         -0.41290194  -0.7959423  0.085899130     0.17599892 -0.6293245
## 3          0.14704896   0.2724309  0.017936543    -0.05108790 -0.3270899
## 4          0.08495453   0.1527231 -0.211098761    -0.01133795 -0.6892853
##   displacement   cylinder turning_radius     length      width gross_weight
## 1    1.2416005  0.7713501     1.52199364  1.4432905  1.0506490    1.5757383
## 2   -1.3511277 -1.2627851    -1.11592575 -1.2897293 -1.4083715   -0.9177984
## 3    0.3217680  0.7370325    -0.07423063  0.1571996  0.5616518   -0.2397034
## 4   -0.5349322 -1.0355665    -0.37948197 -0.5549745 -0.7585936   -0.3951426
##   ncap_rating
## 1  0.89239408
## 2 -1.26625053
## 3  0.31189508
## 4 -0.03294294
## 
## Clustering vector:
##     [1] 1 3 1 2 3 3 1 3 4 3 3 2 1 2 2 3 2 3 3 4 3 3 1 1 2 2 3 4 2 3 3 2 3 4 2 3
##    [37] 3 1 4 3 3 2 2 1 3 1 2 2 4 3 3 2 3 3 3 1 3 1 3 1 4 2 3 2 3 3 3 2 2 3 3 3
##    [73] 2 4 1 3 3 3 2 1 1 4 1 1 2 1 2 2 2 3 3 2 2 3 4 1 4 3 2 1 1 2 4 2 1 3 1 3
##   [109] 4 2 1 2 4 2 1 3 2 1 3 3 1 2 4 2 1 3 1 3 3 4 2 3 3 1 2 1 3 3 3 1 3 2 3 3
##   [145] 4 3 1 4 2 1 2 2 2 4 2 3 1 2 3 3 2 3 1 2 3 1 2 1 1 4 2 4 2 3 3 3 1 2 3 3
##   [181] 2 3 1 3 2 3 3 3 1 2 1 3 1 3 3 4 1 4 1 1 2 2 3 3 3 1 3 3 3 4 3 2 1 3 3 1
##   [217] 3 4 2 3 1 4 1 3 2 3 3 4 1 3 4 1 2 3 3 2 3 2 2 1 1 1 1 2 3 3 4 3 3 2 1 3
##   [253] 2 3 2 2 1 4 2 3 2 2 2 3 2 3 3 3 2 3 1 1 4 2 2 1 3 1 4 4 3 1 3 2 4 4 4 1
##   [289] 4 3 3 3 3 1 3 3 4 2 4 4 2 3 2 1 1 3 1 4 2 3 4 2 3 2 2 4 3 3 3 1 2 3 1 4
##   [325] 2 2 4 1 2 3 3 3 2 4 3 1 2 3 4 3 3 3 3 4 3 1 1 2 2 4 2 3 1 1 3 3 4 2 3 3
##   [361] 3 4 3 1 2 3 2 3 3 2 2 1 2 2 2 2 1 1 3 3 1 3 4 1 1 2 3 3 3 3 3 3 2 2 1 1
##   [397] 1 4 1 1 4 2 1 2 2 4 3 3 1 3 3 2 4 1 1 3 2 2 1 3 3 3 4 3 2 1 1 4 3 1 1 3
##   [433] 3 1 3 3 2 3 2 3 3 2 1 2 1 3 3 3 3 3 1 4 3 2 4 4 1 1 1 3 1 4 3 3 3 4 2 3
##   [469] 2 1 2 1 3 4 1 1 2 3 2 3 1 3 1 3 3 2 3 3 4 2 4 1 3 3 1 3 2 4 4 4 3 3 3 3
##   [505] 1 4 4 2 3 3 3 3 1 4 2 1 3 4 1 1 3 3 3 2 3 2 4 3 3 2 3 3 1 3 3 3 3 2 4 2
##   [541] 3 2 2 1 2 2 2 2 4 1 3 3 2 2 3 1 3 1 2 3 4 1 3 3 2 2 1 3 1 1 2 4 2 2 1 3
##   [577] 4 4 2 4 4 3 1 1 1 1 3 3 1 3 1 3 4 2 2 1 1 3 3 3 2 4 4 1 2 3 1 1 3 2 3 3
##   [613] 1 2 3 3 1 3 3 3 3 2 2 2 3 2 1 4 3 3 3 3 2 2 3 4 2 4 3 1 2 3 2 3 3 2 1 3
##   [649] 3 2 2 3 3 3 2 4 2 1 3 3 2 3 3 3 1 1 4 3 2 4 1 3 3 4 2 2 3 1 2 4 1 3 4 3
##   [685] 3 2 4 2 3 2 3 2 3 3 3 1 3 4 4 2 1 4 1 3 4 3 1 3 1 2 1 3 2 2 1 2 2 2 3 2
##   [721] 3 2 3 4 2 1 3 2 3 1 4 3 1 4 3 1 3 4 1 4 2 3 4 1 3 1 3 2 1 3 4 3 4 3 2 1
##   [757] 3 4 3 1 1 3 2 2 3 4 3 3 1 3 1 1 3 2 4 2 3 4 2 4 1 1 3 4 3 3 3 3 1 2 1 3
##   [793] 2 4 4 3 3 2 2 1 2 3 3 3 2 3 4 2 4 3 3 1 3 1 2 3 4 1 3 1 3 2 1 3 2 2 1 1
##   [829] 1 3 4 2 1 1 2 3 3 4 3 3 3 3 3 2 1 1 3 3 3 2 2 2 1 3 3 3 1 1 3 2 2 1 3 4
##   [865] 4 1 2 1 4 2 1 1 3 1 4 1 3 1 3 1 3 3 2 1 3 4 1 2 3 1 3 4 2 4 4 2 3 1 1 3
##   [901] 2 2 1 2 3 1 2 2 3 3 2 1 3 3 3 3 1 1 1 1 2 3 2 3 2 4 4 3 2 1 2 2 3 1 1 2
##   [937] 1 4 3 3 2 1 1 3 2 3 4 3 2 1 4 1 4 1 4 3 3 3 2 3 3 3 2 4 3 4 2 2 2 2 3 4
##   [973] 2 3 1 3 4 1 3 3 4 4 4 3 2 1 1 2 3 2 2 4 4 3 3 1 1 3 2 1 3 3 2 3 3 3 3 3
##  [1009] 1 3 3 2 3 3 3 2 3 3 1 1 3 3 3 3 1 2 3 2 4 2 3 1 3 3 4 2 3 3 3 2 1 3 1 4
##  [1045] 3 2 1 2 3 1 4 1 4 1 2 3 1 3 4 4 3 2 1 3 2 3 3 2 3 4 3 4 2 1 1 1 1 3 2 2
##  [1081] 4 3 3 3 2 4 1 1 2 1 2 2 3 1 3 1 4 2 3 1 3 1 3 2 2 3 1 2 2 3 1 1 3 2 3 3
##  [1117] 3 3 3 3 2 3 3 2 1 3 3 1 4 4 1 3 2 3 2 3 3 2 2 1 3 4 2 3 3 2 3 3 2 4 1 3
##  [1153] 1 3 3 3 1 1 3 3 1 3 1 3 2 3 4 3 2 2 3 2 2 2 4 3 3 2 2 1 4 3 2 3 3 2 1 3
##  [1189] 1 3 1 3 1 3 3 1 2 3 3 2 2 3 3 1 1 3 1 3 3 3 2 2 3 3 2 3 4 2 2 3 3 4 3 1
##  [1225] 2 2 3 3 3 4 3 4 3 3 3 4 2 1 2 4 3 3 3 3 1 2 2 1 2 3 1 3 2 3 3 4 1 3 1 3
##  [1261] 2 1 4 3 3 2 2 1 1 2 1 1 3 3 2 1 2 1 2 1 2 4 1 2 2 1 3 1 3 1 3 4 2 3 1 2
##  [1297] 3 3 4 1 3 1 3 3 4 2 4 2 3 3 3 2 2 1 3 3 1 2 1 1 3 2 1 2 3 2 3 4 2 2 3 4
##  [1333] 2 2 1 2 3 3 3 1 3 3 3 2 1 3 4 2 1 1 2 3 1 3 3 3 4 2 1 2 3 1 1 3 1 2 1 1
##  [1369] 3 2 2 2 1 1 3 3 4 2 3 2 3 2 2 1 4 3 3 2 2 1 3 1 1 3 3 3 4 3 4 3 2 3 1 2
##  [1405] 3 2 4 4 2 3 2 2 1 1 3 3 3 3 3 2 4 1 2 1 2 3 3 2 3 3 3 3 3 2 2 2 2 1 3 4
##  [1441] 3 3 3 4 4 3 1 4 3 3 1 1 3 2 3 1 1 2 3 2 4 4 3 3 3 1 1 3 4 3 3 3 1 2 3 3
##  [1477] 4 1 1 4 3 3 2 1 3 2 3 3 1 4 2 3 2 2 2 2 3 2 4 3 2 1 2 2 3 2 3 3 1 2 2 1
##  [1513] 2 3 4 4 2 3 2 1 3 4 1 1 2 3 3 3 1 1 3 3 2 1 1 3 2 2 2 1 2 1 2 3 1 1 4 1
##  [1549] 3 3 2 3 1 3 1 3 1 4 3 2 1 4 2 1 1 3 3 1 3 2 3 1 2 4 2 3 4 4 3 2 3 4 3 2
##  [1585] 3 1 3 1 3 1 2 3 3 4 4 4 3 3 1 3 3 2 2 1 2 4 2 2 4 2 3 2 1 3 1 4 1 2 2 4
##  [1621] 4 3 2 4 1 3 3 1 3 3 3 3 3 4 2 4 3 3 3 3 2 1 2 3 3 2 3 3 4 3 3 2 2 1 3 3
##  [1657] 2 2 4 1 3 3 2 2 1 4 3 1 2 1 3 3 3 2 2 4 1 3 2 3 2 4 4 1 2 3 1 1 3 1 2 3
##  [1693] 4 1 3 1 1 3 1 1 1 2 3 1 1 2 2 1 3 2 3 1 2 1 3 1 3 2 3 2 3 1 4 2 4 1 2 1
##  [1729] 3 3 1 2 3 3 2 2 2 1 2 1 3 3 1 1 1 3 4 2 3 4 4 1 4 3 4 2 1 2 1 1 2 2 4 2
##  [1765] 4 3 1 2 3 1 1 1 3 2 3 2 3 3 3 3 2 3 1 2 3 4 1 3 1 2 3 1 3 1 3 3 3 2 3 2
##  [1801] 2 4 1 3 3 1 3 1 2 4 2 3 3 1 1 2 2 3 3 4 4 3 4 2 1 3 1 2 1 3 2 1 1 2 4 3
##  [1837] 2 3 2 4 3 3 3 4 1 3 3 4 1 2 3 4 1 3 3 3 3 3 3 4 2 3 1 1 1 2 4 3 4 3 2 3
##  [1873] 1 3 1 4 1 2 4 3 2 2 3 3 3 1 2 1 3 4 3 3 3 4 3 3 1 3 2 3 1 1 2 2 4 2 2 3
##  [1909] 3 2 3 3 3 1 2 1 2 3 1 3 4 3 3 3 1 2 3 3 4 1 1 3 1 2 3 1 1 2 2 3 2 3 3 2
##  [1945] 1 1 4 3 2 3 3 1 4 1 2 3 3 1 2 1 2 4 3 3 1 1 2 4 3 3 4 1 3 3 3 1 3 3 2 2
##  [1981] 2 2 3 2 1 3 3 1 3 1 4 2 2 4 1 1 3 2 3 3 1 1 2 1 4 2 3 1 2 4 3 2 3 1 2 2
##  [2017] 4 4 1 2 4 3 4 3 2 1 4 1 3 1 2 1 1 3 1 3 3 1 2 2 2 2 3 4 1 1 3 3 2 1 2 2
##  [2053] 1 1 1 3 3 2 3 4 1 1 3 1 3 1 3 3 1 3 2 1 2 2 1 1 4 3 2 1 3 3 4 3 4 1 2 3
##  [2089] 1 3 3 3 3 1 2 3 2 1 1 3 2 1 3 3 4 3 4 3 3 4 1 2 3 1 3 3 3 3 4 4 4 3 3 1
##  [2125] 3 1 1 1 3 3 1 3 1 2 4 3 3 2 3 1 2 4 2 2 3 4 3 3 4 1 3 2 3 4 1 3 1 3 3 3
##  [2161] 3 1 3 2 3 2 1 3 2 4 3 1 1 3 3 2 2 2 2 1 1 3 3 2 1 1 2 2 2 2 3 2 1 1 3 2
##  [2197] 3 2 3 3 3 2 3 1 4 1 1 1 1 3 3 4 2 3 3 1 1 3 3 2 3 2 3 1 3 3 4 3 3 1 1 3
##  [2233] 1 1 2 1 2 1 3 2 2 3 3 3 2 4 2 4 1 4 2 1 3 2 1 3 4 1 1 3 4 3 3 1 1 3 2 4
##  [2269] 4 3 3 2 3 3 2 3 3 4 3 1 2 4 2 3 1 2 1 2 2 2 1 3 2 3 1 1 3 3 4 3 3 1 1 3
##  [2305] 2 2 1 2 1 2 3 4 2 1 3 3 3 3 2 3 1 2 1 1 3 2 1 4 2 4 1 3 2 3 2 4 3 3 2 4
##  [2341] 3 3 3 1 4 1 3 2 1 3 3 3 3 4 4 3 3 2 1 3 1 1 3 4 2 3 2 2 3 3 3 2 4 3 2 2
##  [2377] 2 3 1 2 2 2 4 1 1 2 2 3 3 3 2 2 1 3 2 4 1 1 2 1 4 3 2 4 3 3 3 3 2 4 4 3
##  [2413] 2 1 1 3 3 4 3 2 3 4 3 4 3 1 4 3 3 1 2 3 2 3 3 2 4 3 1 3 2 2 2 2 4 3 3 2
##  [2449] 2 1 1 3 3 4 1 3 3 3 1 2 3 2 2 2 4 1 1 3 2 1 3 3 2 1 3 4 2 4 3 3 3 1 3 3
##  [2485] 2 3 3 4 3 1 3 3 1 2 4 4 3 4 3 3 2 1 2 2 4 1 2 3 2 4 1 1 2 1 4 3 3 3 2 1
##  [2521] 2 3 3 2 1 1 4 1 3 2 3 2 3 3 1 3 4 3 2 3 1 4 3 2 4 3 3 2 3 3 3 2 4 4 3 4
##  [2557] 2 4 1 1 3 4 3 2 3 4 4 3 3 1 1 3 1 2 1 2 1 3 3 1 3 4 3 2 1 2 2 1 2 2 3 3
##  [2593] 2 2 3 2 3 2 1 1 3 3 1 1 1 3 3 1 3 1 1 1 3 2 2 1 2 1 2 3 2 3 3 4 3 3 1 3
##  [2629] 1 3 1 1 3 3 1 2 4 3 4 3 1 3 1 2 3 3 1 1 3 2 3 2 3 1 3 2 3 2 3 1 2 3 1 1
##  [2665] 2 3 3 2 2 2 1 1 2 2 1 1 2 1 4 2 1 3 3 2 2 3 4 3 2 4 2 4 3 4 3 3 1 1 1 1
##  [2701] 4 4 3 4 2 3 3 2 2 3 1 3 4 4 1 1 3 2 1 4 4 3 3 2 3 1 2 1 3 1 3 1 2 4 3 3
##  [2737] 3 1 2 3 4 1 4 2 2 1 2 3 4 4 4 2 3 3 3 3 3 3 3 3 3 4 1 3 2 3 4 2 2 1 4 4
##  [2773] 1 2 2 2 3 4 2 2 2 2 1 2 3 3 1 2 2 2 1 2 4 4 2 3 4 3 4 2 1 3 3 1 3 3 3 2
##  [2809] 1 3 3 3 1 3 2 3 4 3 2 2 3 3 3 3 2 4 3 3 4 2 2 1 2 2 2 3 2 3 1 2 3 1 3 2
##  [2845] 4 2 2 2 2 1 4 3 4 2 3 3 3 4 2 2 2 1 2 2 2 3 3 2 3 1 3 1 2 3 3 3 3 3 2 1
##  [2881] 1 4 4 2 2 4 1 2 3 1 2 3 4 3 1 2 1 3 3 2 2 1 3 3 4 2 4 4 2 3 3 1 3 4 3 1
##  [2917] 1 4 3 3 2 3 2 4 3 4 1 3 1 3 3 3 2 3 1 2 4 4 3 3 2 4 2 2 3 4 2 3 4 3 1 2
##  [2953] 2 1 3 3 2 2 3 1 4 2 3 3 2 4 4 3 1 4 2 1 3 1 1 1 4 3 3 3 4 2 3 2 2 3 3 3
##  [2989] 1 2 3 1 1 2 2 3 3 2 1 3 3 3 1 1 4 3 3 1 2 3 2 3 1 3 1 3 2 3 2 2 4 2 1 4
##  [3025] 3 3 1 3 3 2 3 2 1 2 3 2 1 3 3 1 1 3 4 2 3 3 1 3 3 3 3 2 3 3 3 3 3 2 2 3
##  [3061] 4 4 1 2 2 4 2 1 2 2 4 3 3 1 2 3 3 1 2 1 1 3 2 2 4 2 2 3 2 4 3 1 3 3 4 4
##  [3097] 3 3 2 3 3 1 3 1 2 3 1 2 1 3 3 3 1 2 1 3 1 4 1 1 2 3 4 1 1 3 2 4 4 2 3 1
##  [3133] 3 2 2 2 4 3 4 3 2 1 3 1 3 4 4 1 3 3 3 1 3 2 3 2 3 2 1 3 2 3 3 3 2 3 4 1
##  [3169] 2 3 3 2 1 4 3 2 1 1 4 3 2 3 2 1 2 2 3 1 3 1 2 2 4 3 1 3 1 1 2 2 3 3 1 2
##  [3205] 2 1 1 1 3 3 1 2 1 4 3 4 1 2 2 3 4 2 4 3 3 4 4 3 1 4 2 3 1 3 4 3 3 2 1 4
##  [3241] 3 4 1 3 1 3 1 2 1 2 3 2 1 4 3 4 1 4 2 1 4 1 3 2 2 3 1 1 3 3 4 2 4 3 2 3
##  [3277] 2 1 3 2 4 3 4 2 2 3 1 3 4 4 3 1 3 4 4 3 1 3 1 4 4 2 3 3 1 1 4 4 1 2 1 1
##  [3313] 1 1 3 3 2 3 2 3 2 1 2 4 2 3 2 1 3 3 2 3 2 1 2 3 3 4 3 3 3 2 4 4 4 2 4 1
##  [3349] 2 2 3 1 1 2 3 2 1 2 2 2 2 2 3 1 1 3 2 1 3 3 4 2 4 1 3 3 3 1 2 2 2 2 4 2
##  [3385] 1 3 1 4 3 3 4 2 2 1 3 1 1 1 3 1 2 2 2 3 1 3 3 2 1 3 1 3 2 2 4 2 1 4 3 4
##  [3421] 3 2 3 2 2 1 2 3 1 3 2 1 4 2 2 2 1 3 4 2 1 2 3 3 2 3 1 2 1 3 2 3 3 4 3 3
##  [3457] 2 2 2 1 2 2 1 1 1 1 4 2 3 2 3 2 4 4 2 3 2 4 4 1 3 1 3 3 2 2 1 1 3 1 2 4
##  [3493] 3 2 2 4 3 3 2 3 1 1 2 3 3 1 2 1 2 3 3 3 3 2 1 1 2 3 4 2 2 3 4 3 3 2 2 3
##  [3529] 4 1 1 4 1 3 1 2 4 3 2 1 2 2 1 2 1 3 1 2 2 3 3 2 2 1 2 3 3 4 1 4 4 3 4 2
##  [3565] 4 2 2 3 2 3 3 1 3 2 2 2 3 1 3 3 2 3 1 2 3 3 4 3 3 3 2 2 3 3 3 2 1 1 3 4
##  [3601] 1 3 2 4 2 3 1 3 4 3 4 1 3 2 1 2 3 2 2 4 3 3 3 1 3 3 1 4 2 2 3 2 1 1 1 2
##  [3637] 3 1 4 4 3 1 3 4 1 4 3 1 3 1 3 3 1 3 2 4 4 1 3 3 3 3 4 3 3 3 3 3 2 1 1 3
##  [3673] 2 4 1 1 4 4 4 2 3 1 2 3 3 1 2 3 2 3 1 2 4 4 3 3 4 3 1 2 3 2 2 1 1 3 1 2
##  [3709] 4 1 4 2 3 2 4 3 2 2 2 1 3 2 1 1 3 1 1 2 3 2 1 2 3 2 4 3 2 4 1 2 3 2 2 2
##  [3745] 2 4 3 3 2 3 1 2 1 2 2 1 1 3 1 3 2 3 1 1 4 1 3 1 3 2 3 1 1 2 3 2 1 4 3 3
##  [3781] 3 1 2 3 3 4 3 3 3 3 1 3 3 1 1 1 2 2 1 1 2 4 4 3 3 3 2 3 2 1 3 2 1 1 3 1
##  [3817] 3 1 1 3 2 3 1 2 2 1 3 1 3 1 2 2 2 3 2 4 2 2 1 3 3 1 3 3 2 2 2 1 1 2 2 2
##  [3853] 3 2 1 1 2 3 4 3 2 3 2 3 3 2 1 2 4 3 4 2 2 4 3 1 2 3 1 3 1 3 2 3 2 2 1 3
##  [3889] 4 1 4 3 3 4 3 2 4 1 4 1 2 2 2 2 3 3 1 2 2 2 3 4 3 1 3 2 1 4 2 1 2 3 1 2
##  [3925] 2 2 4 1 1 2 3 2 2 3 1 3 3 3 3 3 2 3 3 3 2 3 2 1 2 3 3 1 3 4 1 1 2 1 2 2
##  [3961] 1 2 3 3 1 3 3 3 3 3 2 3 3 3 1 2 2 3 1 3 3 3 4 1 2 2 1 1 4 2 4 3 3 2 2 3
##  [3997] 1 2 3 3 1 3 3 4 3 1 3 2 2 3 2 2 1 2 2 1 1 3 1 3 2 1 3 3 1 3 1 2 2 1 2 2
##  [4033] 4 2 3 1 4 3 1 3 3 3 2 3 1 3 3 3 1 4 1 1 3 2 3 4 4 2 2 2 2 1 3 2 4 1 4 2
##  [4069] 4 2 1 4 3 2 4 4 3 1 1 2 2 1 3 4 2 3 3 1 3 2 1 3 3 3 4 4 2 3 2 1 2 1 3 1
##  [4105] 1 2 2 1 1 3 2 3 1 1 3 4 3 2 3 4 3 4 4 2 3 2 3 3 3 1 2 1 3 1 3 2 1 3 3 4
##  [4141] 2 1 2 4 2 3 2 4 2 3 3 3 2 4 1 3 1 3 3 2 2 1 4 1 1 3 3 4 1 2 4 4 2 1 3 2
##  [4177] 4 1 2 3 3 3 3 2 3 1 4 4 3 4 1 2 3 1 3 1 3 2 3 3 3 4 2 3 2 1 3 3 3 2 1 3
##  [4213] 3 1 3 3 3 3 1 4 1 2 3 2 3 1 2 4 3 3 1 2 3 2 2 3 2 4 3 4 3 2 2 1 2 3 3 4
##  [4249] 1 1 4 2 3 2 3 4 1 2 4 1 3 3 3 1 4 3 1 1 3 4 3 3 1 3 3 4 2 4 3 2 4 1 4 1
##  [4285] 3 2 3 1 2 4 3 3 2 3 4 3 4 3 3 3 3 2 1 3 2 3 3 3 3 4 2 2 2 1 3 1 4 2 3 3
##  [4321] 3 3 3 1 1 4 3 2 3 3 3 3 3 4 2 4 4 2 1 3 3 1 4 4 3 3 4 3 1 4 4 4 3 3 4 4
##  [4357] 2 2 1 4 3 1 4 1 2 3 3 4 2 1 1 4 3 3 1 1 3 3 2 3 3 4 4 3 3 4 3 1 3 3 4 1
##  [4393] 3 1 1 1 1 1 1 4 1 3 3 1 1 2 2 3 3 3 2 2 2 2 3 3 1 2 1 1 1 2 2 3 4 1 3 1
##  [4429] 1 3 2 1 3 1 2 3 1 4 2 1 2 4 2 2 4 3 1 4 4 2 3 2 2 1 3 1 3 3 1 3 3 4 3 1
##  [4465] 3 1 2 3 3 2 2 3 2 3 3 3 2 3 1 4 2 4 2 2 3 2 3 3 1 2 1 3 4 3 2 2 3 3 4 3
##  [4501] 4 1 3 3 3 3 3 3 4 3 3 4 2 4 3 4 3 3 3 4 3 2 1 2 3 3 2 4 1 2 3 4 4 3 4 3
##  [4537] 1 1 2 3 3 2 1 2 3 2 1 4 3 4 4 2 2 3 4 1 2 4 1 1 4 1 3 2 4 1 3 2 3 3 4 2
##  [4573] 3 3 3 1 4 3 3 3 3 4 3 2 4 3 3 1 2 1 2 1 1 2 2 4 3 3 2 1 4 2 2 3 3 3 2 3
##  [4609] 2 1 2 3 2 3 4 3 1 3 3 3 1 3 2 1 4 3 1 2 2 3 3 2 3 1 3 1 2 2 3 1 3 2 1 2
##  [4645] 2 3 1 3 3 3 2 3 3 2 1 1 2 2 1 3 2 1 2 1 3 3 2 3 2 3 1 2 4 4 3 3 3 3 4 1
##  [4681] 2 3 1 2 2 2 4 1 1 4 3 2 3 4 4 1 3 3 2 4 2 1 3 2 3 4 3 1 1 2 3 3 1 3 1 1
##  [4717] 2 3 3 3 1 2 1 3 4 1 3 3 3 1 4 1 1 3 1 3 3 2 1 2 4 1 1 2 3 2 3 3 4 3 3 4
##  [4753] 2 3 4 1 3 2 4 1 3 3 3 2 3 1 2 3 1 4 3 3 1 3 2 3 1 3 1 3 3 2 2 1 3 3 4 4
##  [4789] 3 3 4 3 3 2 3 3 3 4 3 2 1 2 1 4 2 1 2 2 1 1 1 2 2 3 4 3 2 1 3 3 3 3 2 2
##  [4825] 3 2 4 1 4 2 2 3 1 3 4 1 2 2 4 1 3 4 3 3 1 3 3 3 4 1 2 1 2 2 3 1 1 3 4 3
##  [4861] 2 3 3 2 3 3 1 4 1 1 3 3 3 4 3 1 1 4 1 1 3 1 1 1 2 3 3 4 3 3 2 4 4 3 1 2
##  [4897] 3 2 2 1 2 1 4 4 3 3 2 4 2 4 2 3 2 3 2 1 2 1 3 2 3 2 1 3 2 1 4 3 2 3 3 1
##  [4933] 3 3 4 3 1 3 4 1 1 2 3 3 2 1 1 1 1 3 3 2 2 2 1 3 2 2 2 3 2 1 3 2 2 3 4 3
##  [4969] 1 1 3 1 4 3 2 4 1 1 1 2 4 1 1 3 2 1 3 2 4 3 1 1 1 2 4 2 4 1 1 4 3 1 3 1
##  [5005] 3 4 3 1 1 3 1 3 2 1 1 4 4 3 3 2 3 4 3 1 3 3 3 3 1 3 4 3 4 2 3 4 1 3 1 1
##  [5041] 4 3 3 2 1 1 4 3 3 1 1 1 2 2 3 1 2 3 1 4 3 4 3 4 2 3 1 3 1 1 2 1 3 1 2 3
##  [5077] 2 4 1 1 4 2 3 3 1 3 1 3 1 1 2 4 1 4 1 3 4 2 3 2 3 3 3 3 1 4 3 2 3 3 3 2
##  [5113] 3 1 1 2 4 2 2 1 4 1 3 1 1 4 2 2 2 2 4 1 4 1 3 2 1 2 2 1 3 2 2 1 2 2 3 4
##  [5149] 1 1 3 2 2 4 1 1 4 2 2 3 2 3 2 3 2 1 2 1 2 2 3 3 4 4 2 1 2 3 3 1 2 3 4 1
##  [5185] 1 4 2 1 2 3 3 3 1 3 4 3 1 2 1 2 2 1 3 1 4 1 2 2 4 1 4 4 3 1 3 1 3 1 3 3
##  [5221] 2 3 4 3 1 1 3 4 4 1 3 3 1 1 2 2 2 4 1 2 3 2 3 4 2 2 1 3 2 2 3 3 3 1 1 3
##  [5257] 3 2 1 2 2 1 4 3 4 2 2 3 3 3 4 1 1 1 2 3 2 3 2 1 2 3 3 3 3 2 1 3 3 3 1 3
##  [5293] 2 2 3 2 3 2 4 1 1 1 2 3 2 2 3 3 2 1 3 2 2 1 1 2 1 1 1 2 3 3 1 1 1 3 2 3
##  [5329] 3 1 4 2 3 2 3 3 3 2 3 1 1 4 4 1 2 4 1 1 3 3 1 4 3 3 3 2 2 2 1 2 3 1 3 4
##  [5365] 1 2 3 1 4 3 1 1 4 3 3 4 1 2 2 1 3 1 2 3 2 2 3 2 3 3 3 4 4 1 3 2 3 1 2 3
##  [5401] 2 4 3 3 3 3 2 1 2 2 1 1 2 1 2 2 1 2 1 3 2 3 3 1 2 1 3 4 3 2 1 2 3 4 3 2
##  [5437] 3 1 3 3 1 3 4 2 3 2 3 4 3 2 2 1 3 4 2 3 3 2 1 2 2 1 4 3 4 1 2 3 2 2 2 1
##  [5473] 3 4 2 3 3 3 3 4 3 2 2 3 3 1 2 1 3 1 1 1 1 3 3 1 2 2 1 3 3 1 3 2 2 4 3 2
##  [5509] 3 1 1 1 2 1 3 4 3 1 3 4 4 1 2 2 3 1 1 3 3 2 3 4 1 1 1 3 3 4 2 2 2 4 3 3
##  [5545] 2 3 2 1 4 2 2 1 1 2 4 3 2 3 2 3 2 4 3 3 4 2 4 2 1 1 1 2 4 3 2 1 3 3 4 3
##  [5581] 3 2 3 2 4 1 1 1 2 3 3 4 1 3 2 2 3 3 3 3 3 1 2 4 3 1 2 1 2 3 3 3 1 3 1 1
##  [5617] 3 1 3 3 1 2 3 1 4 2 3 1 4 3 3 4 2 1 2 4 2 1 3 3 1 2 3 2 3 3 3 3 1 3 2 3
##  [5653] 4 3 3 3 3 1 3 2 1 3 3 2 3 3 3 3 2 3 1 2 3 2 2 3 3 1 1 4 4 3 1 1 3 3 2 1
##  [5689] 1 3 1 4 1 3 1 1 3 3 4 3 4 3 3 3 4 3 3 3 2 2 2 3 1 3 3 4 2 3 1 4 4 3 4 2
##  [5725] 3 2 3 3 4 4 2 3 4 3 2 1 3 1 2 2 1 3 3 1 2 2 1 3 3 1 3 3 4 3 1 4 3 1 4 2
##  [5761] 2 2 1 3 2 3 3 3 3 3 2 3 3 3 2 1 2 3 1 2 1 2 2 2 3 2 4 1 1 3 3 3 3 3 2 3
##  [5797] 2 4 1 2 3 3 3 2 2 2 2 3 3 4 1 3 2 2 2 4 3 3 3 3 4 2 1 3 3 3 4 2 3 2 3 2
##  [5833] 1 3 4 2 3 4 3 4 2 2 3 3 2 1 3 4 1 4 3 3 4 4 1 3 4 3 1 1 2 4 2 2 4 1 2 4
##  [5869] 1 2 1 3 3 1 3 2 1 2 4 2 1 4 3 1 3 4 3 3 3 3 4 2 1 4 4 3 2 3 2 1 1 2 3 4
##  [5905] 3 1 1 2 3 1 1 1 2 3 1 3 1 3 1 4 3 2 4 3 1 2 3 1 3 2 4 1 1 3 1 2 2 1 2 2
##  [5941] 3 1 3 4 3 2 3 2 2 2 2 3 2 3 1 1 2 3 4 2 3 2 4 3 2 4 4 1 2 1 2 2 3 2 3 1
##  [5977] 1 3 4 1 4 3 1 1 2 4 3 4 3 3 1 4 3 4 3 2 4 3 3 1 4 3 3 2 3 3 1 1 2 2 3 3
##  [6013] 3 2 3 3 1 3 1 2 2 1 1 1 3 3 1 4 1 1 2 3 3 1 1 2 3 3 3 2 3 1 2 2 1 3 2 3
##  [6049] 4 3 2 1 3 1 1 3 2 3 1 2 1 3 3 1 3 1 4 2 2 1 3 3 2 2 2 3 4 4 3 2 3 2 2 2
##  [6085] 1 3 1 3 2 2 2 1 2 4 2 4 2 1 2 1 3 2 3 4 2 3 2 3 1 3 2 2 3 2 3 4 2 3 3 3
##  [6121] 3 1 1 2 3 2 3 1 3 1 4 3 3 1 3 2 3 2 3 3 2 2 3 3 3 1 1 3 4 2 4 3 3 3 3 4
##  [6157] 2 1 2 2 2 2 1 3 2 4 2 4 4 1 2 3 3 2 1 2 4 2 1 3 4 3 2 2 2 2 1 3 1 1 1 2
##  [6193] 1 3 2 3 4 3 2 3 3 1 3 3 2 1 3 3 3 2 1 3 4 3 2 3 3 3 2 2 1 2 1 2 3 2 3 4
##  [6229] 4 3 1 1 2 3 2 1 4 2 1 1 4 1 2 4 1 2 3 1 4 3 3 1 3 2 1 4 3 2 1 2 2 3 2 2
##  [6265] 2 2 4 4 3 3 2 1 3 4 2 2 4 2 2 1 4 3 2 1 3 2 3 3 3 1 2 3 3 2 2 1 4 2 2 1
##  [6301] 3 3 1 2 2 4 1 1 2 2 1 1 1 3 1 2 1 3 1 2 3 2 2 4 2 3 2 4 2 1 2 1 1 2 1 3
##  [6337] 3 2 3 2 3 1 3 4 3 4 4 3 1 2 2 4 1 1 2 3 3 3 3 3 1 3 4 2 3 2 3 3 1 2 2 3
##  [6373] 3 1 3 4 1 3 3 2 3 2 3 2 1 1 1 2 3 1 3 3 3 1 4 3 1 1 2 2 3 3 3 4 3 2 3 2
##  [6409] 1 3 4 2 4 3 2 3 4 1 2 2 3 1 4 2 3 1 3 3 1 3 2 1 3 1 3 2 2 2 4 2 3 3 2 4
##  [6445] 3 1 1 2 1 2 2 3 1 1 3 4 1 3 1 4 2 3 1 2 3 2 2 4 2 2 3 3 3 3 3 3 1 3 1 2
##  [6481] 1 2 4 1 3 1 3 1 1 3 3 1 1 1 3 1 1 1 4 4 4 4 2 3 2 2 3 4 2 3 1 3 4 3 4 3
##  [6517] 3 3 3 1 3 3 3 3 2 4 3 1 3 3 2 4 3 2 4 2 1 4 3 1 3 2 3 1 3 3 3 1 3 3 1 2
##  [6553] 2 3 2 1 1 1 2 3 2 3 2 3 2 3 3 2 3 2 1 1 3 3 1 1 2 2 2 1 3 1 3 4 2 3 1 3
##  [6589] 2 2 3 1 3 3 2 2 2 2 3 3 2 2 3 3 1 3 4 2 1 3 3 2 3 3 3 4 3 3 2 1 3 2 1 3
##  [6625] 3 3 2 2 1 3 2 1 2 3 2 2 2 3 1 2 1 3 1 2 3 1 4 2 3 4 4 2 2 3 1 2 2 1 2 3
##  [6661] 1 3 2 1 4 2 3 3 4 1 2 2 2 3 1 2 4 2 3 1 2 4 4 4 4 2 3 3 3 2 3 4 2 3 3 3
##  [6697] 2 2 2 3 1 2 4 3 3 3 3 4 2 3 3 1 3 3 3 1 3 2 4 2 1 2 1 1 4 3 2 2 3 3 2 2
##  [6733] 3 3 3 1 2 4 3 1 3 3 4 1 2 3 3 4 3 1 3 3 3 4 2 2 2 3 1 2 3 3 3 3 2 1 2 2
##  [6769] 3 3 3 2 4 3 4 2 4 1 1 1 2 3 1 3 3 1 1 2 3 2 1 2 4 1 3 2 1 3 2 1 3 2 4 4
##  [6805] 3 1 1 1 3 2 3 2 3 3 3 1 1 2 1 2 2 2 2 3 1 2 3 2 4 3 1 1 1 1 4 3 3 4 3 3
##  [6841] 1 1 2 4 3 1 2 2 1 3 2 3 1 1 3 4 2 4 1 1 3 1 3 2 1 2 1 2 4 1 3 4 1 4 3 3
##  [6877] 3 3 4 1 4 1 3 1 3 1 4 4 2 2 3 3 4 1 2 1 4 3 2 4 2 4 3 3 3 4 4 4 3 2 1 3
##  [6913] 1 4 3 2 3 3 3 4 4 2 2 3 1 2 3 3 1 2 1 3 2 2 4 1 3 3 3 1 1 3 2 1 4 1 4 2
##  [6949] 2 2 2 2 3 1 4 3 1 3 3 1 2 1 4 3 1 2 3 3 3 4 3 1 1 4 1 1 3 4 2 1 1 1 1 3
##  [6985] 2 3 3 4 4 2 3 3 3 1 3 1 3 4 3 2 3 1 3 3 1 3 4 1 3 3 4 3 1 2 1 2 3 2 3 3
##  [7021] 3 3 3 3 3 1 4 3 4 3 3 1 3 4 2 3 1 3 1 1 2 2 4 3 1 3 2 2 2 3 1 3 2 1 2 4
##  [7057] 4 1 1 3 3 2 3 3 2 3 2 2 3 2 2 2 4 1 2 3 3 2 4 3 4 1 1 3 2 3 3 1 3 2 3 3
##  [7093] 2 4 4 3 1 1 3 1 3 3 2 1 3 2 3 2 2 2 3 1 1 3 1 3 3 4 4 3 3 2 2 4 3 3 2 3
##  [7129] 2 3 1 3 2 1 3 1 3 3 1 1 1 3 2 2 2 4 2 4 2 4 3 2 1 4 1 3 3 3 1 2 2 4 2 3
##  [7165] 3 2 3 1 4 1 3 3 1 1 3 3 3 1 4 2 3 2 3 2 1 2 2 2 3 1 1 3 3 2 2 2 3 4 3 2
##  [7201] 3 2 4 1 3 4 3 1 1 3 1 4 2 1 1 3 3 4 4 3 3 2 2 4 4 3 2 1 3 1 4 3 1 1 3 2
##  [7237] 4 3 2 3 4 4 1 3 1 4 3 3 3 2 1 1 4 3 2 3 1 3 2 4 3 2 1 2 3 2 1 3 3 3 1 1
##  [7273] 2 1 1 3 4 1 1 3 3 2 1 3 1 2 1 2 3 4 3 3 3 1 2 3 1 4 1 1 3 2 2 3 2 3 1 2
##  [7309] 2 2 3 2 4 3 1 2 1 2 2 3 1 1 2 3 3 2 3 2 3 2 2 2 3 3 3 3 2 2 3 2 4 3 3 3
##  [7345] 3 1 1 3 3 3 3 3 2 3 3 3 1 1 4 2 3 2 2 3 1 3 2 2 2 1 2 3 3 1 1 3 3 4 2 4
##  [7381] 3 2 1 3 3 3 4 1 1 3 1 1 3 1 1 1 3 3 3 2 1 2 3 2 1 3 1 3 2 3 1 2 3 1 3 3
##  [7417] 3 4 3 1 2 2 2 1 2 1 3 4 4 3 1 3 2 3 3 3 3 1 4 4 1 3 1 2 1 4 2 2 2 4 2 3
##  [7453] 4 3 1 2 2 3 3 2 4 1 3 2 4 3 3 3 2 2 3 4 2 2 3 1 2 1 3 4 3 3 1 3 1 1 1 1
##  [7489] 1 3 3 2 2 2 3 2 2 3 3 4 1 1 1 1 3 4 4 1 3 1 2 3 1 1 1 4 3 1 3 3 2 1 2 1
##  [7525] 3 3 2 2 1 1 1 2 4 2 2 2 3 1 4 2 1 3 1 1 2 2 1 3 1 3 4 2 1 4 2 2 3 2 1 3
##  [7561] 2 2 3 3 2 2 2 3 3 4 1 1 3 2 3 2 1 1 2 2 2 2 3 2 3 2 2 3 1 3 3 4 4 1 2 1
##  [7597] 3 2 2 3 3 4 3 1 1 1 2 3 1 3 3 1 3 1 2 3 4 1 2 1 3 4 1 4 3 2 3 4 3 2 2 2
##  [7633] 2 3 4 3 3 3 3 1 1 3 2 3 1 4 2 1 1 3 4 2 3 3 4 1 2 4 3 1 2 2 1 4 2 3 1 3
##  [7669] 1 1 3 2 3 3 3 3 3 4 1 2 1 3 1 2 2 1 3 2 4 4 1 3 3 3 4 3 1 3 1 2 1 4 3 1
##  [7705] 2 2 2 2 3 3 2 2 1 3 1 3 3 3 1 3 2 1 1 2 1 2 1 1 1 4 3 1 3 4 2 4 2 2 4 3
##  [7741] 3 1 4 2 3 1 2 1 2 3 2 3 3 1 3 3 3 1 1 4 1 1 3 2 4 3 2 1 3 3 4 2 3 1 1 2
##  [7777] 3 1 1 3 3 1 4 4 4 4 3 2 4 2 3 1 4 4 1 3 2 1 3 4 1 3 4 1 4 3 3 3 3 4 3 3
##  [7813] 3 4 1 1 2 2 4 2 2 1 3 2 3 1 3 2 3 2 1 4 4 3 1 3 4 3 2 2 3 1 2 3 1 1 2 3
##  [7849] 2 3 1 4 3 3 3 3 4 2 1 4 3 1 3 1 3 1 2 2 2 3 1 1 3 1 2 3 1 3 3 3 1 3 1 3
##  [7885] 3 3 3 3 4 4 3 3 4 2 3 1 1 3 1 4 2 1 4 3 2 2 4 3 4 3 4 2 1 1 3 3 2 1 2 1
##  [7921] 3 4 1 2 2 3 3 2 2 4 1 1 3 4 4 2 1 4 3 4 1 3 3 2 2 1 1 2 4 2 4 3 2 1 4 4
##  [7957] 1 4 4 3 2 3 3 4 2 2 4 1 3 2 3 2 1 2 1 1 1 2 2 2 4 3 3 1 4 2 2 4 2 3 3 2
##  [7993] 2 3 4 1 3 3 1 2 3 3 4 2 4 2 3 2 3 1 3 1 4 4 1 3 3 3 2 4 2 4 3 2 3 3 2 2
##  [8029] 4 1 4 1 3 3 1 1 1 3 2 1 2 4 1 3 1 4 2 1 3 3 2 4 3 1 1 3 2 3 1 3 2 4 2 3
##  [8065] 3 3 3 3 2 2 2 1 4 3 2 2 3 1 1 3 3 2 3 4 3 4 3 3 4 3 2 2 1 3 3 2 2 2 2 2
##  [8101] 3 2 1 3 2 3 3 2 2 3 3 4 3 1 3 1 2 4 1 1 3 1 1 1 2 2 3 3 3 3 3 3 3 3 3 2
##  [8137] 3 1 3 1 4 3 1 1 1 4 2 3 4 3 2 2 1 1 1 3 1 3 3 2 2 1 2 2 3 3 3 1 3 1 3 3
##  [8173] 3 4 2 3 2 4 4 3 4 1 3 3 3 4 3 2 3 2 2 3 3 1 1 3 3 3 3 2 1 3 1 1 3 3 3 4
##  [8209] 3 3 4 4 1 3 2 2 3 1 1 2 3 4 3 3 3 1 2 3 3 1 2 3 2 2 1 3 1 4 1 2 2 1 1 1
##  [8245] 3 2 3 2 3 1 1 3 3 4 2 4 1 3 4 1 3 3 1 3 1 4 4 3 2 2 1 3 3 1 3 1 1 3 3 3
##  [8281] 2 3 2 3 3 3 3 3 2 2 2 3 1 3 3 2 3 2 4 3 3 2 1 1 3 3 1 3 2 2 1 1 4 1 4 2
##  [8317] 3 4 3 3 4 2 3 3 1 2 1 3 2 1 1 3 2 3 3 3 4 2 1 2 4 1 3 4 4 1 4 3 2 4 2 3
##  [8353] 1 3 2 3 3 3 3 1 3 3 1 1 4 1 4 1 3 3 3 3 3 2 2 2 4 2 2 2 3 1 3 3 1 2 4 3
##  [8389] 3 4 4 4 3 3 1 2 3 4 2 1 4 3 3 3 3 3 3 1 2 2 2 2 2 1 3 3 1 3 3 4 1 1 3 2
##  [8425] 2 1 1 2 4 1 1 3 1 3 2 2 3 2 1 4 2 1 3 3 4 4 1 3 2 3 3 4 3 3 4 1 1 4 1 2
##  [8461] 1 3 3 3 2 1 2 2 2 1 3 1 4 3 3 2 4 3 2 3 3 2 3 3 2 1 3 1 3 4 1 3 2 3 3 4
##  [8497] 4 2 3 4 1 2 2 3 1 1 3 3 3 1 1 3 2 1 3 4 3 3 1 3 2 3 3 4 2 3 2 2 3 1 3 3
##  [8533] 3 1 3 2 2 3 3 1 4 3 3 4 3 1 1 3 3 4 3 3 3 2 4 2 2 3 3 1 2 3 1 3 3 4 1 3
##  [8569] 4 1 1 3 2 2 2 3 3 2 3 3 4 4 2 2 3 3 2 2 3 1 2 1 2 1 3 1 3 4 3 1 1 2 3 3
##  [8605] 2 3 1 3 3 3 1 2 3 3 3 3 2 3 2 3 1 3 1 1 2 3 4 2 3 1 3 3 1 1 3 3 3 1 1 4
##  [8641] 1 3 3 2 2 3 1 3 2 3 2 3 3 3 3 3 1 2 2 1 3 3 2 1 3 4 4 3 3 3 1 1 1 1 3 1
##  [8677] 3 3 2 4 4 3 2 3 2 1 4 3 3 2 3 1 4 2 2 4 2 4 2 2 1 1 2 1 2 2 3 1 3 3 2 2
##  [8713] 4 1 2 4 3 4 2 2 3 3 2 1 2 3 3 3 3 3 3 4 2 3 1 4 3 3 1 3 1 2 3 2 2 1 3 4
##  [8749] 1 1 1 3 1 1 1 3 4 3 3 3 2 1 3 2 4 3 4 4 3 3 2 3 4 1 3 3 2 2 2 1 3 2 1 4
##  [8785] 4 2 1 2 3 3 4 3 1 3 1 4 3 3 4 2 1 2 3 1 1 3 3 2 4 2 3 1 3 3 2 2 3 3 2 3
##  [8821] 3 3 2 2 2 3 1 3 4 2 1 4 2 3 4 2 1 3 3 1 3 3 1 4 4 3 3 1 3 1 1 3 2 2 2 1
##  [8857] 3 1 4 3 1 1 2 3 4 1 1 1 4 1 2 1 2 3 2 3 3 3 3 1 1 3 2 2 1 1 3 2 2 3 4 2
##  [8893] 2 2 2 2 1 2 2 2 2 1 3 2 4 1 3 3 1 3 3 3 2 2 1 2 3 3 2 1 1 3 1 2 3 1 3 3
##  [8929] 4 1 1 3 2 3 2 1 1 2 3 4 3 3 1 4 3 2 2 4 3 2 3 3 3 4 3 1 1 3 3 3 1 4 2 4
##  [8965] 1 1 1 3 3 3 1 2 3 2 3 1 3 2 3 2 3 3 1 3 2 3 3 3 3 3 3 3 3 1 3 2 2 3 3 3
##  [9001] 2 3 3 1 1 1 4 2 3 3 2 3 4 3 3 3 3 4 3 3 2 2 2 2 1 3 3 1 1 1 3 2 3 3 3 3
##  [9037] 3 3 4 3 4 3 1 1 2 2 1 1 1 3 1 1 3 2 2 1 2 4 1 1 2 2 1 2 2 4 3 1 3 1 2 1
##  [9073] 1 2 3 2 2 2 1 2 3 1 1 1 2 1 2 2 4 3 1 2 3 1 2 4 3 3 1 2 2 2 3 3 4 1 3 1
##  [9109] 2 2 2 2 3 1 4 3 3 3 3 1 3 4 2 4 2 4 2 1 2 4 1 3 3 2 1 3 1 1 2 1 1 2 2 2
##  [9145] 1 2 3 2 1 2 3 3 2 1 3 1 2 1 2 3 3 1 1 1 1 3 2 2 2 2 3 3 1 2 3 3 2 2 4 4
##  [9181] 2 3 4 4 4 3 3 3 3 3 1 2 3 2 1 3 4 3 4 2 3 3 3 2 1 3 4 2 4 3 2 2 3 3 3 1
##  [9217] 3 1 4 4 2 4 1 3 1 2 2 3 2 4 3 1 1 2 3 2 3 2 3 1 3 3 2 4 2 3 2 3 2 1 3 2
##  [9253] 1 2 2 3 3 3 3 2 3 3 3 1 1 2 1 3 3 1 1 1 2 3 2 2 3 1 2 1 3 1 2 3 3 3 1 3
##  [9289] 3 3 1 1 2 3 4 4 3 3 2 4 3 4 3 3 4 3 2 4 1 1 4 3 2 3 3 1 3 2 1 1 2 2 3 3
##  [9325] 2 2 3 3 3 3 3 2 3 3 3 2 4 3 3 3 2 1 3 1 1 4 2 1 3 4 1 4 3 3 3 1 1 2 1 3
##  [9361] 3 2 3 1 1 3 1 4 1 2 2 2 3 2 3 3 4 2 2 1 3 1 1 2 3 3 3 2 1 3 3 4 2 1 2 1
##  [9397] 2 2 3 1 3 2 4 1 3 1 3 3 4 3 3 1 2 2 2 3 2 1 3 2 1 1 3 2 1 1 3 4 3 3 3 3
##  [9433] 1 3 2 1 1 2 2 4 2 4 3 1 3 1 4 4 2 4 3 1 2 3 4 1 3 1 3 4 3 3 2 3 3 3 3 2
##  [9469] 3 2 2 3 3 4 2 3 2 3 3 1 1 3 3 1 1 2 2 2 2 4 2 2 2 3 3 4 3 2 2 3 2 3 3 3
##  [9505] 1 2 1 3 1 1 4 3 1 3 4 1 4 4 2 1 2 1 2 3 3 4 3 4 4 1 4 1 3 3 2 3 4 1 2 4
##  [9541] 3 4 1 2 2 3 2 4 3 1 1 3 2 3 3 3 1 4 3 1 1 3 3 4 3 3 2 2 4 3 1 1 1 2 1 1
##  [9577] 2 1 3 2 3 1 3 1 1 2 2 1 4 2 1 4 3 3 1 1 1 1 1 4 3 3 3 2 3 4 2 1 3 3 4 2
##  [9613] 3 3 3 1 2 3 2 3 3 2 2 3 1 4 3 1 3 3 3 3 1 2 3 4 2 4 3 2 3 1 1 2 3 1 4 1
##  [9649] 3 1 3 3 3 1 3 1 1 3 3 3 1 3 2 2 3 4 2 1 1 2 3 1 1 1 2 4 2 3 2 3 3 1 3 4
##  [9685] 1 3 2 4 1 2 1 2 2 1 2 3 4 4 2 2 3 1 3 3 2 3 3 2 1 2 4 3 1 1 2 2 3 3 3 3
##  [9721] 2 4 3 3 3 1 4 2 2 2 2 2 3 2 4 2 2 1 1 2 3 1 4 2 1 1 3 1 1 1 4 3 2 3 2 3
##  [9757] 2 4 2 2 3 1 1 3 3 3 3 4 3 4 1 1 1 4 3 2 2 3 4 3 3 4 1 3 1 1 3 3 1 2 1 1
##  [9793] 4 2 3 1 3 1 4 1 2 2 4 2 3 3 1 1 4 1 2 3 3 1 1 1 1 3 1 2 3 2 3 1 3 3 3 1
##  [9829] 1 3 1 1 2 1 3 3 3 2 3 1 1 1 1 1 4 2 3 4 2 2 3 3 4 2 3 2 3 2 3 1 4 2 1 3
##  [9865] 2 4 1 2 1 1 1 3 3 1 2 3 1 3 1 1 1 4 2 4 3 3 3 3 1 2 2 2 3 2 3 2 3 2 1 4
##  [9901] 2 2 2 3 1 2 2 3 3 1 1 3 3 1 3 1 3 1 3 3 3 2 2 1 4 1 1 1 3 1 3 2 4 1 4 4
##  [9937] 4 3 3 3 3 4 3 3 4 1 1 3 3 4 4 2 3 2 2 2 3 3 1 3 3 1 2 3 3 2 3 2 3 4 1 1
##  [9973] 2 3 3 3 2 3 2 4 1 2 2 2 2 1 2 1 2 1 3 2 2 4 3 3 2 2 3 1 3 2 1 1 3 2 2 3
## [10009] 2 2 2 1 4 3 1 3 1 3 3 3 2 2 2 2 3 2 4 1 1 2 3 2 3 2 3 2 2 4 3 2 4 2 3 1
## [10045] 3 2 2 3 4 4 2 2 1 2 2 1 2 1 4 1 1 2 2 1 2 3 1 4 4 1 1 3 3 3 2 3 3 3 1 3
## [10081] 1 3 2 3 4 3 3 1 2 2 4 2 1 1 3 1 3 3 2 4 4 1 3 1 2 3 1 2 2 3 1 2 2 4 1 3
## [10117] 1 3 2 3 3 3 1 4 3 2 3 3 1 3 4 3 3 3 3 3 3 4 2 3 1 2 3 2 3 4 3 1 2 1 3 3
## [10153] 3 4 3 2 2 3 4 1 3 2 3 2 4 4 4 3 2 1 3 1 2 3 3 3 2 3 3 3 4 3 1 1 3 2 3 2
## [10189] 1 2 3 1 4 2 1 3 3 3 1 1 3 3 3 4 3 3 2 3 1 3 3 3 1 1 3 3 1 3 1 3 4 3 1 4
## [10225] 3 1 3 3 3 1 3 1 1 4 3 3 3 1 2 2 1 3 3 2 1 3 4 3 1 4 2 3 1 2 4 3 3 2 3 3
## [10261] 3 3 3 2 4 2 1 3 4 1 1 2 1 1 2 3 1 1 3 4 3 3 3 3 1 3 2 4 1 2 2 3 1 2 4 3
## [10297] 3 4 3 2 1 2 4 3 3 2 2 1 1 1 4 2 3 1 3 3 2 4 2 3 2 3 2 2 2 3 3 3 4 2 3 3
## [10333] 1 3 2 3 1 4 2 3 3 3 4 1 3 3 1 1 3 2 3 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3
## [10369] 1 1 1 3 3 3 1 3 4 2 2 1 4 4 2 1 3 1 1 1 3 3 2 3 3 4 3 3 3 3 4 3 1 1 1 3
## [10405] 1 1 4 3 4 2 4 1 3 2 4 3 1 3 3 3 3 3 1 3 3 3 4 3 4 3 2 3 3 3 1 2 3 3 1 3
## [10441] 3 3 1 3 4 1 3 1 2 4 4 3 3 3 1 3 1 1 4 3 4 4 2 3 3 3 1 3 4 4 3 4 4 2 3 4
## [10477] 1 3 1 2 3 2 1 3 4 4 3 2 4 2 3 2 3 1 3 4 3 2 3 1 1 2 3 2 1 2 1 2 2 3 1 1
## [10513] 1 3 2 1 1 3 1 4 1 4 3 3 3 1 1 1 2 3 1 3 2 3 2 1 1 1 2 1 4 1 1 3 3 2 2 3
## [10549] 2 2 3 2 3 2 3 2 3 1 2 2 1 3 3 2 3 2 1 1 1 4 1 3 3 3 3 3 3 1 3 3 3 3 3 2
## [10585] 2 3 1 2 2 3 1 1 1 1 3 4 4 3 1 2 3 3 3 4 3 1 3 4 4 3 3 3 4 3 1 4 2 3 4 3
## [10621] 3 4 3 2 4 3 4 2 3 2 1 1 2 3 1 1 4 2 3 2 3 3 3 1 4 1 1 1 1 3 1 3 3 3 3 3
## [10657] 3 2 3 4 4 4 2 3 2 2 3 2 2 3 3 2 2 1 2 1 2 2 2 4 2 2 1 4 1 2 1 3 2 3 4 3
## [10693] 3 2 2 4 4 1 1 4 2 3 1 3 1 1 1 2 2 1 4 3 1 1 2 1 1 3 1 2 1 2 3 2 4 3 3 3
## [10729] 1 3 3 1 1 4 4 3 2 3 1 1 4 2 3 2 2 1 3 2 3 1 4 3 3 3 1 1 1 1 3 3 4 2 3 1
## [10765] 2 1 3 3 2 1 3 3 3 2 2 3 1 2 3 3 3 4 2 1 2 2 2 3 3 3 3 1 3 1 2 2 4 2 2 4
## [10801] 2 3 2 2 4 4 1 2 4 1 3 2 1 3 3 2 2 3 2 2 1 3 1 4 2 3 1 2 1 1 2 3 3 4 2 4
## [10837] 1 1 3 3 2 1 4 3 3 3 2 3 2 2 1 1 2 3 1 3 3 4 1 4 1 1 1 3 4 4 4 3 3 2 4 3
## [10873] 3 3 3 3 3 2 3 2 2 2 3 2 3 3 1 2 3 2 1 3 2 3 4 3 1 3 2 1 4 3 1 3 3 2 3 3
## [10909] 1 2 4 1 3 2 2 3 3 3 2 2 1 2 2 4 3 1 3 3 1 3 1 1 3 3 1 3 2 2 3 2 4 3 3 1
## [10945] 1 4 2 3 1 1 3 2 4 2 4 3 3 3 3 1 1 3 1 1 1 2 4 1 2 1 1 3 1 3 3 1 1 3 1 4
## [10981] 1 1 3 3 2 2 2 3 3 3 3 2 2 1 3 4 2 2 2 4 3 2 3 4 2 3 2 3 1 2 4 4 1 3 3 2
## [11017] 1 4 4 2 4 4 2 3 1 3 1 3 2 1 3 3 4 3 2 4 2 3 1 1 2 3 3 3 2 1 1 3 3 3 3 3
## [11053] 3 3 3 1 2 3 3 1 3 3 2 3 1 3 3 3 2 2 3 3 1 1 3 1 1 4 4 3 1 3 1 1 2 1 3 1
## [11089] 3 2 1 2 1 3 4 1 4 2 3 3 3 2 4 1 3 1 4 3 1 4 4 1 1 2 2 3 2 3 3 3 2 2 4 3
## [11125] 1 3 3 3 3 1 1 3 2 4 2 1 2 3 1 4 3 3 3 1 3 2 3 1 3 1 3 3 4 1 4 3 3 3 3 3
## [11161] 2 3 4 3 2 4 2 2 1 3 2 2 2 1 3 1 2 1 4 3 2 4 1 1 2 3 2 2 2 1 3 1 3 1 3 4
## [11197] 1 3 1 1 1 4 2 4 2 2 2 2 2 4 4 3 3 3 2 1 4 3 2 1 4 2 2 3 1 2 4 1 3 1 3 3
## [11233] 3 3 3 3 1 2 1 3 2 4 1 2 1 2 1 2 3 3 3 2 1 2 1 4 3 2 3 2 1 1 3 1 3 4 2 2
## [11269] 1 3 2 1 2 1 2 4 3 3 3 2 2 3 2 3 3 2 3 3 2 2 2 4 2 1 2 2 3 3 3 3 4 2 1 2
## [11305] 3 3 3 4 2 1 3 3 3 3 3 3 2 3 1 4 3 4 2 3 2 3 3 4 1 3 2 2 1 1 3 1 2 1 3 3
## [11341] 3 2 4 2 2 1 2 1 1 2 3 1 3 1 1 1 3 3 2 1 3 4 1 4 4 2 3 2 1 2 3 3 2 1 1 4
## [11377] 3 3 2 3 1 3 1 1 1 2 1 4 4 3 2 1 3 3 1 1 3 3 3 1 3 4 2 3 4 3 1 3 3 4 3 4
## [11413] 3 4 1 4 1 3 1 1 3 3 2 1 1 2 2 1 3 3 1 4 2 4 3 4 2 3 1 2 2 3 1 3 4 1 4 1
## [11449] 1 3 3 2 3 3 2 3 4 1 3 1 1 3 3 2 3 4 2 3 3 2 3 3 3 1 2 1 1 3 3 3 2 1 3 1
## [11485] 3 3 3 4 4 3 1 1 3 3 1 3 3 3 3 1 1 1 3 3 1 3 1 2 3 3 3 3 4 2 3 2 1 3 2 3
## [11521] 1 1 4 3 1 1 4 3 2 3 3 1 2 3 2 3 3 3 3 3 2 2 2 2 3 3 2 2 3 3 3 2 2 1 4 3
## [11557] 4 2 1 4 1 3 3 2 1 1 2 3 3 2 4 4 1 3 4 2 2 2 1 3 3 3 3 2 3 2 2 2 2 3 3 1
## [11593] 3 1 3 2 4 1 4 4 1 3 4 2 3 2 3 3 1 1 1 3 2 2 2 3 3 3 3 2 3 2 2 2 3 3 2 1
## [11629] 3 2 3 2 3 2 1 2 2 3 1 1 2 1 1 1 1 3 2 3 3 1 2 2 1 2 1 1 4 4 2 3 3 3 2 2
## [11665] 1 2 3 4 3 3 3 3 4 2 2 4 2 1 2 1 1 3 3 3 2 3 3 3 3 2 2 2 2 4 3 3 3 1 3 2
## [11701] 3 2 3 4 3 3 1 1 3 3 1 3 3 4 3 2 3 3 2 3 3 4 1 2 3 2 3 1 3 3 2 2 4 1 1 4
## [11737] 2 2 2 2 4 3 4 2 1 2 3 3 3 2 3 3 3 3 3 2 2 3 3 2 3 1 1 1 2 1 2 2 3 3 2 1
## [11773] 2 1 1 1 1 1 2 2 1 4 3 2 3 1 3 1 1 3 3 3 2 1 3 1 2 3 3 4 1 4 1 2 3 2 3 2
## [11809] 3 3 1 1 1 2 1 1 2 1 4 1 1 3 3 2 2 3 2 2 3 3 3 3 1 3 3 3 3 3 4 4 3 3 1 3
## [11845] 1 3 3 3 3 3 3 2 1 3 2 2 3 4 3 4 3 3 1 3 3 3 3 2 2 3 1 2 2 1 2 2 4 2 4 4
## [11881] 1 2 3 2 2 4 3 3 3 2 3 1 2 4 1 2 3 2 3 4 3 1 2 3 3 3 1 4 3 4 1 2 2 4 1 2
## [11917] 2 1 3 2 4 2 4 4 4 2 1 1 3 3 2 4 3 2 4 2 1 3 3 2 2 4 3 2 3 3 1 2 1 1 2 1
## [11953] 1 3 1 4 3 2 4 1 1 2 3 2 3 1 2 2 3 2 3 3 2 2 3 1 1 1 1 1 3 3 1 1 4 3 4 1
## [11989] 3 2 3 3 2 4 2 1 2 1 1 3 1 3 2 3 2 3 3 2 4 2 3 3 1 3 1 2 1 1 4 3 2 3 3 1
## [12025] 2 3 1 3 3 4 3 1 1 2 2 2 4 3 3 2 3 3 4 4 2 2 3 2 3 3 3 1 1 1 2 1 2 3 3 4
## [12061] 3 3 2 3 3 2 3 1 3 1 3 3 2 1 2 3 4 1 2 3 1 2 3 2 3 3 4 4 1 3 3 3 3 3 4 3
## [12097] 3 4 1 3 1 3 3 2 3 2 3 2 1 2 2 2 3 3 2 2 4 2 3 3 3 2 1 4 4 3 3 3 3 3 3 2
## [12133] 3 3 1 3 1 3 2 3 4 2 1 3 1 3 2 3 3 2 3 3 4 3 2 4 1 2 3 1 2 3 2 3 3 3 3 2
## [12169] 1 1 2 3 3 1 1 3 2 2 2 2 1 2 3 2 3 1 3 2 3 3 3 4 2 2 1 3 3 1 3 3 1 3 3 3
## [12205] 4 1 4 2 2 1 2 3 1 2 4 1 2 3 3 2 2 1 3 1 1 3 4 2 1 1 1 2 3 2 3 2 3 1 1 4
## [12241] 2 3 2 4 3 3 3 3 4 1 2 3 3 1 4 4 3 3 2 2 2 3 3 2 3 3 3 4 1 4 4 3 4 3 2 4
## [12277] 3 3 4 1 2 3 2 1 1 1 3 2 3 2 3 2 2 2 4 1 1 3 3 1 4 3 3 1 2 2 1 3 3 4 1 2
## [12313] 2 2 2 2 3 3 1 3 2 3 2 3 1 3 3 4 2 3 3 2 4 1 3 2 3 2 3 2 3 1 1 3 2 3 1 4
## [12349] 2 1 1 4 3 1 1 3 1 3 2 1 2 2 3 2 1 2 2 2 4 3 1 3 1 2 3 2 3 4 2 4 3 2 3 3
## [12385] 1 3 1 3 1 1 1 2 3 3 4 2 4 1 4 3 3 1 2 4 4 4 4 1 2 1 4 1 2 2 2 1 1 1 3 1
## [12421] 1 1 3 1 4 1 3 4 1 1 2 3 3 3 3 3 2 2 3 4 1 3 3 2 1 4 2 1 2 4 2 2 2 2 1 3
## [12457] 4 1 4 3 3 3 3 3 4 4 2 3 1 3 3 2 3 1 2 1 1 1 4 3 1 2 1 3 4 4 2 3 1 3 2 3
## [12493] 4 4 4 2 3 3 1 4 3 1 3 3 3 3 3 2 4 2 4 3 3 2 4 1 3 3 4 2 1 3 2 3 3 2 3 1
## [12529] 2 2 3 1 3 2 2 2 1 3 4 3 2 4 3 2 2 1 1 3 3 1 3 2 3 4 4 4 1 3 4 1 2 4 3 2
## [12565] 3 3 1 2 1 2 3 1 3 4 1 1 3 1 3 4 2 2 3 3 3 1 2 2 3 2 3 2 3 3 3 3 3 4 1 3
## [12601] 3 3 2 4 2 2 3 1 4 2 3 3 3 2 2 3 3 1 3 3 1 3 4 3 3 3 1 3 3 3 2 1 3 2 3 3
## [12637] 3 3 1 2 3 1 3 3 2 3 4 3 3 2 2 3 4 3 2 1 2 2 2 3 2 2 1 1 1 1 3 4 3 3 2 3
## [12673] 4 1 3 2 3 4 2 1 2 1 4 3 3 4 1 2 3 2 4 2 3 3 1 3 3 4 2 2 1 3 3 1 3 2 3 2
## [12709] 3 3 3 3 1 3 3 1 3 2 3 1 4 4 2 3 2 2 2 1 1 2 4 3 4 3 1 4 2 1 1 3 2 4 3 3
## [12745] 3 1 3 4 3 1 2 2 3 1 3 4 3 1 2 3 4 4 4 2 3 3 2 3 1 2 1 2 3 3 1 1 3 3 3 3
## [12781] 3 3 1 3 3 2 1 3 3 1 1 2 4 1 1 1 4 1 3 4 3 3 3 2 1 3 2 1 3 3 3 3 3 2 3 3
## [12817] 3 1 1 2 3 2 3 3 2 3 3 1 1 3 2 3 2 3 3 2 4 4 4 3 3 3 3 3 1 1 2 3 3 3 2 1
## [12853] 2 4 2 3 4 2 3 3 1 3 3 2 4 2 2 2 4 3 4 1 2 3 3 2 3 3 4 2 3 2 4 4 1 4 1 1
## [12889] 3 1 3 2 3 2 2 3 1 3 3 3 3 3 2 1 4 1 3 3 2 3 2 2 2 3 4 3 2 4 4 3 1 2 1 4
## [12925] 2 4 2 3 3 3 3 3 3 1 3 3 2 1 1 2 1 1 2 2 1 3 1 1 1 3 4 4 1 1 2 2 1 3 4 2
## [12961] 2 3 4 3 2 3 2 1 3 3 3 3 3 3 1 3 2 3 2 3 2 3 4 1 3 1 1 2 1 1 3 3 1 1 2 3
## [12997] 3 2 1 3 2 3 3 3 3 3 4 2 1 3 4 2 4 3 3 2 4 3 2 2 1 3 4 2 3 2 4 2 1 3 2 1
## [13033] 4 4 3 2 1 3 2 2 1 1 2 3 1 1 3 2 4 3 1 2 1 3 1 1 3 3 2 1 1 1 1 1 2 1 3 2
## [13069] 2 1 2 1 1 3 1 2 3 2 3 3 2 3 1 2 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 1 3 1 2 3
## [13105] 3 3 3 2 1 4 3 2 3 3 4 1 1 3 3 3 3 2 3 1 3 3 1 2 3 3 3 3 1 4 1 3 3 1 3 1
## [13141] 3 3 2 3 2 3 2 3 3 4 2 3 3 1 1 1 4 2 3 2 4 2 2 3 1 1 3 2 3 3 2 3 1 2 3 4
## [13177] 1 3 3 4 3 1 1 1 3 2 4 4 3 2 2 4 2 2 4 1 1 2 2 3 3 3 3 4 3 1 2 4 2 4 1 2
## [13213] 3 4 1 3 3 1 1 1 3 1 3 2 1 2 2 1 1 4 3 2 3 3 3 1 1 1 2 1 1 4 3 3 1 1 3 3
## [13249] 3 1 4 1 3 4 3 3 3 3 1 1 2 1 1 3 1 2 2 3 3 2 2 2 3 2 2 3 2 3 3 4 3 2 2 3
## [13285] 3 3 1 3 4 1 3 1 4 3 3 2 4 3 2 3 3 1 2 3 4 3 1 1 2 3 3 3 1 1 1 3 3 3 3 1
## [13321] 3 3 3 3 2 3 4 1 2 3 3 3 1 4 2 4 1 1 2 1 3 4 3 2 4 2 3 1 2 2 1 3 3 2 2 1
## [13357] 3 2 2 2 4 3 3 3 3 3 3 1 3 3 3 1 3 3 3 3 2 4 1 1 1 2 2 3 2 4 2 1 2 3 1 3
## [13393] 1 2 1 3 3 1 3 3 4 3 3 3 4 1 3 3 1 3 1 3 1 2 1 2 3 2 3 4 2 3 3 3 3 4 2 2
## [13429] 1 3 4 1 2 1 1 3 1 3 1 1 2 3 1 4 2 3 3 3 1 2 1 3 1 1 1 4 3 3 1 3 3 1 4 4
## [13465] 3 2 1 1 3 1 3 4 1 4 3 3 2 3 2 1 3 1 1 2 4 3 3 2 3 3 2 3 3 3 2 1 2 2 3 3
## [13501] 4 2 4 3 4 4 2 4 2 3 3 4 1 2 3 3 1 4 3 3 1 4 4 4 4 2 3 3 2 1 2 1 3 3 4 2
## [13537] 4 1 4 2 2 3 1 3 4 2 2 2 1 4 2 4 1 1 1 2 2 3 1 4 4 3 4 1 2 3 1 1 3 2 4 3
## [13573] 2 3 3 3 3 4 2 2 1 2 3 3 2 3 3 1 3 2 3 2 3 3 2 3 2 1 2 3 1 3 4 3 4 1 2 2
## [13609] 1 4 1 1 1 3 1 4 1 4 1 4 3 2 2 2 4 2 2 2 3 3 4 4 3 2 4 3 2 1 3 4 1 3 3 1
## [13645] 3 1 1 1 2 1 2 2 2 3 3 3 2 4 1 3 4 3 3 4 2 2 2 3 1 1 2 2 1 3 1 2 1 1 1 1
## [13681] 1 2 3 1 3 3 1 3 2 3 4 2 2 3 2 3 3 3 1 4 2 2 1 1 1 4 1 2 3 1 2 3 1 2 1 3
## [13717] 2 3 3 1 2 1 2 1 2 2 4 3 3 4 1 3 3 2 3 2 2 1 2 1 3 2 2 1 3 1 3 3 3 1 1 1
## [13753] 2 3 1 2 3 1 2 4 3 1 1 2 1 3 3 2 1 3 2 1 3 3 3 2 2 3 3 4 3 3 3 3 4 1 3 3
## [13789] 1 1 2 3 2 1 3 1 1 2 4 1 1 1 2 3 3 3 3 3 3 2 2 1 3 3 3 3 1 3 2 2 2 4 2 3
## [13825] 3 4 3 1 3 1 4 3 2 3 3 1 2 2 1 2 3 3 4 3 1 2 2 1 1 4 4 1 3 3 3 2 2 3 3 3
## [13861] 2 1 3 2 3 2 4 2 1 4 2 1 1 4 2 4 1 2 2 4 3 2 2 3 1 1 4 1 2 2 2 1 1 4 3 2
## [13897] 3 2 3 1 4 1 2 3 1 2 2 3 1 2 3 1 3 3 3 3 1 1 1 3 1 1 3 4 3 2 2 1 1 3 3 1
## [13933] 1 3 2 3 1 1 1 3 4 4 2 3 3 4 3 2 4 2 2 1 3 1 3 3 3 1 1 2 1 1 3 3 4 2 2 3
## [13969] 1 1 3 3 4 4 2 3 1 3 3 3 3 1 3 3 3 2 4 2 3 1 1 1 2 1 3 3 2 2 1 1 3 2 3 3
## [14005] 4 1 2 1 3 4 4 4 2 1 1 3 2 4 1 2 3 1 4 2 3 3 2 3 3 3 2 2 1 3 3 3 1 1 4 2
## [14041] 1 3 2 1 2 1 3 1 3 2 4 4 2 3 2 1 2 4 1 3 1 1 1 3 2 4 3 2 2 1 2 1 4 1 1 3
## [14077] 2 3 1 3 2 3 3 2 3 1 4 2 3 1 4 1 4 3 3 3 3 3 4 1 3 2 4 3 2 2 4 3 2 1 3 4
## [14113] 2 4 1 1 2 2 1 3 4 1 4 3 2 2 2 3 3 3 1 3 3 1 3 4 4 3 2 2 1 4 3 3 4 2 1 4
## [14149] 1 4 2 2 4 3 3 1 3 3 2 2 4 1 2 2 2 3 3 3 1 3 2 3 3 4 3 3 4 3 1 2 3 3 2 2
## [14185] 3 2 4 3 4 2 3 3 2 1 1 2 2 1 3 1 2 3 3 3 1 2 3 1 3 1 2 2 3 2 3 2 3 1 1 3
## [14221] 3 1 1 2 3 1 3 1 2 2 3 3 4 1 2 2 2 3 4 3 3 3 4 2 2 4 1 4 2 4 3 1 2 3 3 3
## [14257] 2 3 1 3 1 1 1 1 1 2 3 2 3 3 4 3 3 4 1 2 3 3 3 3 1 3 3 2 1 3 3 3 4 4 3 2
## [14293] 4 1 4 3 4 1 1 2 4 3 4 3 1 3 1 2 3 3 3 1 2 2 1 3 1 1 3 2 2 3 3 2 3 2 3 1
## [14329] 2 2 3 1 3 2 3 2 3 3 1 2 2 2 1 3 2 4 2 2 3 3 2 1 3 2 4 1 3 3 1 4 2 2 1 3
## [14365] 3 1 3 3 4 2 3 3 2 3 3 1 3 2 1 2 1 1 4 3 4 4 2 3 1 2 3 4 3 2 3 2 2 1 1 1
## [14401] 2 3 3 3 1 1 3 4 1 3 2 4 2 2 2 3 4 3 4 1 1 2 3 2 1 4 4 2 4 3 2 4 1 3 2 2
## [14437] 3 3 2 2 3 1 3 1 3 1 4 1 2 2 1 1 3 3 2 3 3 4 3 1 2 3 3 2 1 2 3 3 3 2 3 1
## [14473] 3 1 3 3 3 1 2 2 3 3 3 3 1 1 1 3 3 2 2 3 4 1 3 3 1 3 3 3 1 2 2 4 3 2 3 3
## [14509] 3 1 3 3 3 3 2 2 3 3 2 3 3 3 4 2 2 3 4 4 3 2 2 3 2 3 3 2 3 4 4 2 3 1 3 1
## [14545] 3 1 1 2 4 1 3 1 2 1 2 4 1 3 4 1 3 2 1 3 4 3 1 3 3 1 2 1 4 2 1 4 1 3 2 3
## [14581] 3 1 4 2 1 2 4 2 4 4 3 1 3 3 4 1 3 3 2 3 3 1 3 3 1 3 2 3 3 1 3 2 4 2 4 3
## [14617] 2 1 3 3 4 2 2 3 1 4 1 1 1 2 1 2 2 3 3 2 2 3 3 4 3 3 1 4 1 4 3 1 2 1 2 3
## [14653] 3 2 2 1 3 4 2 2 3 4 3 4 2 2 4 2 1 2 2 1 2 1 2 3 1 4 3 1 3 2 2 1 2 3 3 1
## [14689] 4 3 2 4 2 3 4 4 2 2 1 3 1 1 3 3 2 3 3 1 1 3 1 4 3 3 3 3 1 3 4 3 3 1 4 3
## [14725] 1 2 4 4 2 3 3 2 4 1 2 1 3 1 2 3 4 2 2 1 2 1 1 4 2 3 1 2 4 2 3 4 3 4 4 3
## [14761] 2 1 2 3 4 3 3 3 3 3 4 4 3 3 3 1 1 4 1 2 1 3 3 3 2 1 2 1 3 3 3 3 1 3 4 3
## [14797] 3 1 3 2 4 3 2 2 3 2 4 3 3 3 3 3 3 2 3 1 2 2 1 1 2 1 2 3 3 3 4 2 3 3 3 4
## [14833] 2 3 2 4 1 4 3 3 2 2 1 1 2 3 3 2 3 4 3 3 1 2 2 3 3 2 4 2 1 2 4 1 1 2 3 3
## [14869] 3 2 3 4 4 3 2 1 2 2 1 1 2 3 1 1 3 1 4 2 3 2 4 2 2 4 3 3 1 1 1 1 3 2 3 2
## [14905] 3 4 1 3 1 4 1 1 2 2 2 2 3 3 3 3 1 1 3 1 4 1 1 1 3 3 3 3 2 1 1 4 4 1 4 2
## [14941] 4 2 3 3 2 4 1 2 3 3 2 1 3 1 3 1 1 2 1 1 4 3 1 3 2 3 3 4 3 3 3 1 1 3 1 3
## [14977] 3 2 3 3 3 3 2 2 4 4 4 4 1 3 2 2 3 2 2 2 2 3 3 3 2 2 2 1 2 3 3 3 1 3 2 2
## [15013] 4 2 3 1 1 4 3 3 3 3 1 4 3 2 3 2 1 3 4 3 2 3 3 1 3 3 3 1 1 4 3 2 4 3 2 3
## [15049] 3 2 2 1 3 3 2 2 1 2 2 3 2 1 3 3 3 3 2 3 1 2 3 2 1 1 4 3 2 2 2 1 3 3 2 3
## [15085] 1 2 3 3 2 1 3 1 3 3 1 1 2 2 4 3 3 3 4 1 4 1 2 1 3 2 1 3 1 3 4 3 2 1 2 3
## [15121] 3 1 2 1 2 1 1 1 3 4 4 1 2 3 3 3 2 3 2 3 1 1 4 2 1 2 2 3 2 1 1 1 2 4 4 2
## [15157] 4 4 4 1 4 1 2 4 3 4 4 4 2 3 1 2 3 3 2 3 1 2 3 3 2 4 3 2 3 3 3 3 1 1 1 1
## [15193] 4 1 2 2 3 2 3 3 2 3 4 1 1 3 3 1 4 3 3 1 4 2 2 3 3 2 3 3 2 1 4 4 3 1 1 1
## [15229] 3 3 3 1 3 4 2 1 3 3 1 3 4 3 3 3 1 3 2 3 1 1 2 3 3 3 1 3 1 1 3 2 2 3 3 2
## [15265] 3 1 1 1 4 2 2 3 3 4 3 2 2 3 2 3 4 2 3 3 1 3 2 4 3 3 2 3 3 1 1 1 2 3 3 4
## [15301] 1 4 1 2 3 3 4 1 2 2 1 1 2 3 1 3 4 3 2 1 4 3 3 1 1 3 3 2 2 4 3 3 3 3 2 4
## [15337] 2 3 1 2 3 2 1 3 2 2 3 1 2 3 4 3 4 1 2 3 3 2 3 2 4 2 2 1 4 3 3 4 2 3 3 3
## [15373] 4 3 1 3 3 3 1 3 1 1 3 3 3 2 3 1 3 3 4 1 2 3 3 2 3 2 2 3 2 2 2 3 1 2 3 1
## [15409] 3 1 1 1 1 3 2 1 2 3 1 4 4 2 1 3 3 3 3 2 1 3 1 4 3 3 1 3 3 3 4 3 3 3 3 3
## [15445] 4 2 2 1 3 1 2 3 1 3 2 3 3 1 3 3 3 1 1 3 1 1 1 4 2 2 1 3 3 2 3 2 3 2 1 4
## [15481] 4 2 3 2 4 4 3 1 4 1 4 1 1 3 4 3 2 3 2 3 1 3 3 1 2 1 3 3 3 2 3 1 3 2 1 3
## [15517] 4 4 1 4 3 2 1 3 4 3 1 2 3 4 4 4 3 4 3 2 1 2 3 3 3 1 1 2 3 1 2 2 3 2 3 4
## [15553] 1 4 2 1 1 3 1 1 1 4 1 1 2 2 2 4 2 2 2 3 4 2 2 2 3 3 3 3 4 3 3 1 1 1 2 3
## [15589] 2 3 4 2 1 2 2 2 4 3 2 2 4 1 3 2 1 2 3 2 4 2 3 2 2 2 1 1 1 3 2 2 2 1 1 4
## [15625] 3 3 2 1 2 3 1 1 3 3 1 4 4 2 2 1 4 4 4 4 2 1 4 3 1 3 3 1 3 4 2 2 2 3 3 2
## [15661] 4 3 3 1 3 1 3 3 3 3 2 3 1 1 2 1 3 2 1 3 4 1 2 3 2 3 3 1 1 3 2 3 3 2 4 2
## [15697] 2 3 3 3 2 2 1 1 1 3 3 2 3 3 3 4 1 3 1 3 3 4 2 3 3 3 3 2 3 3 4 3 1 4 1 2
## [15733] 3 1 2 3 3 1 4 1 3 1 4 4 4 2 1 3 2 1 3 3 2 1 3 3 2 3 1 1 3 1 3 3 3 2 1 3
## [15769] 2 1 3 1 3 1 1 1 1 3 2 4 1 2 3 3 2 1 1 3 2 3 1 2 2 2 3 3 4 3 2 4 4 3 1 2
## [15805] 1 3 3 3 1 1 2 1 2 3 1 1 1 1 3 2 4 3 3 4 1 3 3 2 3 1 3 2 2 3 1 3 3 4 3 3
## [15841] 1 3 2 1 2 1 3 3 3 2 3 3 1 3 1 1 3 2 1 2 2 4 4 2 2 1 4 3 1 2 3 3 4 4 3 4
## [15877] 1 4 3 1 3 1 3 1 1 1 2 3 2 3 3 3 3 3 1 1 3 3 4 4 4 3 4 3 2 2 3 1 3 3 2 3
## [15913] 3 3 2 1 3 2 3 1 2 3 3 4 3 1 1 3 1 2 2 3 3 1 4 2 4 1 2 1 3 2 1 3 1 2 1 2
## [15949] 3 3 2 4 1 1 3 2 4 1 3 3 1 3 1 1 4 1 1 2 1 2 3 4 3 3 2 2 1 4 1 1 4 4 2 1
## [15985] 3 2 3 3 1 2 3 4 3 3 2 3 3 2 2 2 4 1 3 3 3 1 4 1 1 2 3 2 3 4 3 3 2 2 2 4
## [16021] 3 2 1 3 2 1 3 3 4 4 3 3 3 4 3 2 3 1 2 3 2 3 3 3 3 2 4 2 2 3 1 3 3 2 3 4
## [16057] 3 1 2 3 3 4 1 3 3 4 2 3 2 1 3 4 2 3 3 1 2 4 1 3 2 3 1 3 2 3 3 1 1 3 2 1
## [16093] 3 1 3 1 3 3 2 3 3 2 4 4 2 1 2 1 1 3 4 3 1 2 4 1 3 3 2 3 1 4 2 3 3 2 2 2
## [16129] 3 3 3 3 1 4 3 3 2 1 4 1 3 3 2 1 3 3 1 2 1 3 1 3 2 1 3 1 1 2 3 1 3 4 2 4
## [16165] 3 1 1 1 1 3 3 2 2 3 3 3 3 3 1 2 2 4 3 2 4 1 2 2 2 3 4 3 3 2 1 3 3 3 3 4
## [16201] 3 3 2 2 2 1 2 2 1 3 3 3 1 3 3 1 2 4 3 1 3 3 2 3 1 3 4 1 1 1 3 2 1 1 1 4
## [16237] 2 4 4 1 2 1 2 1 2 1 4 3 4 3 1 3 3 2 3 3 1 2 1 3 2 3 2 3 3 2 3 2 3 3 3 2
## [16273] 3 2 1 3 3 3 3 2 2 4 3 2 2 3 1 1 3 2 3 1 3 3 2 1 1 1 1 3 2 2 1 3 3 2 1 3
## [16309] 2 3 2 3 1 3 4 3 3 3 3 1 3 2 2 2 3 3 4 4 1 3 3 1 1 2 3 3 3 3 1 3 4 2 3 2
## [16345] 1 1 3 2 2 1 3 3 1 1 3 3 4 2 2 1 1 3 3 3 3 1 2 4 3 2 3 2 2 1 3 1 3 2 4 4
## [16381] 4 1 3 3 2 2 3 1 2 3 2 2 1 2 1 1 2 3 2 3 3 3 2 3 2 2 2 4 3 3 3 1 2 3 4 2
## [16417] 2 2 4 3 3 4 2 2 2 4 3 3 2 3 3 4 1 2 4 3 2 3 1 2 3 1 2 3 1 4 4 3 1 2 3 3
## [16453] 4 2 2 1 3 2 3 4 1 2 4 3 3 2 4 3 3 1 3 2 1 2 3 4 1 4 4 1 2 3 4 3 3 3 3 2
## [16489] 2 2 1 3 2 1 1 3 2 2 2 1 4 3 1 2 3 4 3 3 4 1 2 3 3 3 3 2 2 1 1 3 1 3 2 1
## [16525] 4 4 4 3 3 2 1 3 1 1 2 1 3 3 1 4 3 2 1 2 2 4 1 3 4 3 4 1 2 1 3 1 2 1 4 1
## [16561] 1 1 2 3 1 4 3 2 2 3 3 1 1 2 4 1 3 2 3 4 2 4 4 1 2 3 2 4 3 1 2 2 2 2 1 4
## [16597] 3 1 2 3 2 3 1 1 4 4 2 4 3 3 1 2 3 1 2 3 2 3 2 2 3 3 4 4 2 2 2 1 2 3 3 3
## [16633] 3 2 3 3 3 2 1 3 2 2 3 3 1 4 2 2 2 3 3 1 3 3 2 3 4 2 2 4 3 3 4 3 3 1 1 2
## [16669] 3 1 2 2 2 3 3 3 3 3 4 3 3 1 3 1 2 3 3 3 4 3 4 1 2 3 3 1 1 3 3 1 2 3 3 2
## [16705] 3 2 4 1 2 4 2 1 3 2 3 4 2 2 1 3 1 1 1 4 3 2 3 3 3 3 2 3 3 1 2 3 2 3 3 2
## [16741] 2 2 2 2 3 3 3 2 3 4 1 3 1 3 2 1 1 4 3 1 4 3 2 3 1 2 1 3 2 3 3 1 1 3 1 3
## [16777] 3 3 4 1 2 4 2 2 1 1 3 2 4 3 1 2 1 1 2 4 4 3 3 4 2 3 4 4 3 3 2 1 3 2 3 2
## [16813] 3 3 1 2 3 2 1 4 1 3 3 1 2 3 1 1 1 3 1 4 1 3 3 2 3 1 1 1 1 3 2 2 3 3 1 2
## [16849] 3 2 1 1 2 4 4 1 2 3 4 2 2 3 1 3 1 2 2 1 3 2 3 3 1 1 3 3 2 3 3 2 3 2 4 3
## [16885] 2 3 1 3 3 3 2 3 3 2 1 3 3 2 2 4 1 1 1 2 3 3 1 3 3 1 2 2 3 4 1 2 2 3 4 3
## [16921] 3 2 2 2 2 2 3 2 3 3 4 4 3 1 4 3 3 1 2 2 2 2 4 2 4 4 3 3 3 3 1 2 3 3 4 3
## [16957] 3 3 1 2 1 3 3 3 1 2 3 3 2 3 1 1 2 1 2 3 1 2 3 2 2 1 4 3 1 1 4 4 3 4 4 2
## [16993] 3 3 3 3 1 3 2 1 3 3 2 2 1 4 2 1 1 1 3 3 2 3 1 2 1 1 1 1 2 2 3 2 2 1 4 3
## [17029] 4 1 1 3 2 4 2 3 2 3 4 2 1 3 1 2 1 2 3 3 3 3 2 1 2 2 1 3 1 1 3 1 4 2 3 1
## [17065] 3 2 2 2 2 3 3 1 3 3 3 1 3 2 3 3 3 2 3 2 3 2 3 3 3 3 2 3 3 2 2 4 4 3 2 4
## [17101] 3 1 2 2 3 2 3 4 1 2 1 4 2 1 4 1 3 3 4 1 2 3 3 1 3 1 2 1 1 2 3 3 3 4 2 3
## [17137] 2 2 4 3 3 3 2 3 3 2 4 4 3 3 3 2 1 1 3 2 3 3 3 2 3 3 2 1 3 1 3 2 4 2 3 3
## [17173] 3 2 3 3 3 2 4 3 3 2 1 2 3 3 3 3 3 3 3 4 1 2 3 3 4 4 3 3 3 3 2 3 2 4 3 3
## [17209] 3 3 3 2 1 2 2 1 3 1 4 3 1 4 2 4 4 1 3 4 3 2 1 2 2 3 4 1 3 1 3 4 3 1 1 3
## [17245] 4 2 3 4 2 3 4 3 4 2 3 2 4 1 2 3 3 3 3 3 3 1 3 2 4 3 4 3 2 2 4 3 2 3 1 3
## [17281] 2 3 3 2 2 2 3 2 1 1 4 1 2 2 3 2 4 2 3 3 3 2 3 2 2 1 1 4 4 2 3 4 1 2 3 1
## [17317] 2 3 2 1 1 4 3 3 3 3 3 4 1 3 1 2 2 3 3 1 3 3 1 1 3 1 2 2 2 2 2 2 4 2 4 3
## [17353] 4 2 3 4 1 3 3 2 3 3 3 3 3 1 3 4 1 2 1 1 3 1 3 3 3 1 2 3 3 2 3 3 1 4 3 3
## [17389] 3 3 4 1 1 1 3 3 3 3 3 1 2 2 3 2 3 3 1 4 2 2 1 3 4 3 1 3 3 3 4 2 1 4 3 3
## [17425] 4 4 2 3 3 4 4 1 2 2 1 4 4 3 3 3 2 3 1 3 4 3 2 3 3 4 4 3 2 3 3 2 4 3 1 3
## [17461] 4 3 2 3 2 3 1 3 1 1 3 3 3 1 1 3 2 2 2 1 3 3 1 2 3 1 3 3 2 3 3 3 2 2 3 2
## [17497] 4 3 1 4 2 1 3 4 1 3 1 3 2 2 4 3 3 3 2 1 3 1 2 3 3 2 1 3 4 2 2 4 1 1 3 3
## [17533] 2 1 3 3 2 3 2 1 2 3 2 2 3 2 3 3 2 3 1 1 4 3 3 3 3 4 3 1 3 3 3 3 3 4 1 1
## [17569] 1 1 3 1 2 2 4 3 3 3 2 3 3 1 4 3 4 1 1 2 2 1 3 2 4 3 2 1 4 4 1 3 4 3 3 2
## [17605] 3 3 1 3 2 4 4 4 3 3 3 1 1 2 2 4 4 2 2 1 3 4 3 3 4 4 2 3 3 2 2 3 1 3 1 3
## [17641] 3 3 3 1 2 3 1 1 1 3 1 3 4 1 3 1 1 1 2 2 3 1 2 2 4 2 3 2 1 1 2 2 4 3 1 3
## [17677] 2 3 3 1 3 3 1 3 3 3 1 1 3 2 3 2 1 2 2 1 2 3 3 1 1 3 4 3 2 4 1 1 2 3 1 3
## [17713] 1 2 1 2 2 3 1 2 2 2 3 1 2 4 3 1 3 2 3 1 2 2 1 2 4 1 1 4 3 2 3 3 4 3 4 3
## [17749] 3 2 4 1 2 4 1 2 2 3 4 1 3 2 1 1 2 3 2 1 3 3 4 3 1 3 2 3 2 1 2 3 1 2 3 3
## [17785] 1 3 3 1 2 1 1 4 2 1 1 3 3 1 3 2 4 1 3 3 3 2 3 4 3 1 3 3 3 3 3 4 2 3 1 3
## [17821] 3 1 3 1 4 3 2 2 3 1 1 2 1 3 2 1 3 2 4 2 1 3 3 2 3 1 3 3 2 4 3 1 1 3 2 1
## [17857] 1 2 3 4 2 3 1 1 1 4 3 3 3 1 3 3 3 2 3 4 3 4 1 3 2 3 2 4 2 2 2 3 3 4 2 2
## [17893] 4 3 1 2 3 1 1 3 2 1 3 3 3 3 4 4 2 3 3 2 2 1 2 2 3 2 4 1 2 1 3 4 3 2 2 4
## [17929] 2 4 1 2 1 2 3 2 3 3 3 3 3 2 3 3 2 2 3 1 1 3 4 2 3 4 1 2 2 1 3 1 2 1 3 3
## [17965] 4 1 3 4 1 3 3 1 1 1 4 2 2 4 1 3 2 1 3 4 3 3 2 1 2 3 3 2 4 2 1 1 3 1 3 1
## [18001] 3 3 1 3 1 2 1 2 1 1 2 2 1 4 2 1 2 3 3 2 2 3 1 2 2 1 4 1 3 2 2 4 1 3 2 3
## [18037] 2 3 1 4 1 1 2 1 3 3 3 3 2 1 3 2 1 3 1 2 2 3 3 2 1 2 2 3 4 1 3 2 3 2 4 2
## [18073] 1 4 1 1 4 1 3 1 3 1 1 2 1 1 3 3 3 1 1 1 3 2 2 4 3 1 3 4 1 3 4 1 1 4 3 3
## [18109] 2 1 3 1 1 1 1 2 2 3 2 2 2 1 2 1 2 2 2 2 3 3 2 4 1 2 3 2 3 2 1 2 2 1 2 3
## [18145] 2 3 3 2 2 1 3 3 3 3 3 3 1 2 1 3 2 3 3 3 3 3 1 1 3 4 2 3 2 3 3 1 3 3 3 1
## [18181] 1 1 1 3 3 3 2 2 3 4 3 4 2 2 3 1 1 1 3 2 1 1 3 1 2 3 1 3 2 2 3 3 2 1 3 3
## [18217] 3 4 3 2 1 2 1 3 1 2 3 3 3 2 2 2 3 3 1 2 1 3 2 4 4 1 2 1 1 1 3 3 3 1 1 2
## [18253] 3 3 4 1 1 3 2 4 2 3 1 4 4 1 1 2 2 3 3 1 4 4 3 3 3 1 3 2 3 1 3 1 3 3 3 4
## [18289] 2 1 3 1 3 2 1 4 3 2 1 4 3 1 3 2 3 3 3 1 4 3 1 1 1 2 3 3 3 3 1 2 3 3 3 3
## [18325] 4 4 2 4 3 1 3 2 1 3 3 2 2 3 4 2 1 3 4 3 3 1 3 4 1 3 3 1 4 3 3 3 1 3 2 4
## [18361] 3 2 3 1 2 3 1 3 1 1 1 2 3 2 1 4 1 3 3 3 3 2 3 1 1 1 3 3 2 2 4 3 1 2 2 3
## [18397] 1 1 2 2 2 4 1 1 1 2 2 2 2 1 2 3 1 1 3 1 3 3 3 1 1 2 3 2 3 1 2 3 3 1 1 4
## [18433] 1 1 1 3 3 3 3 4 1 3 3 3 2 3 3 1 4 3 3 3 2 3 3 2 2 2 1 1 1 2 3 2 3 1 4 3
## [18469] 1 1 4 2 2 3 3 2 1 2 3 3 2 3 3 3 1 1 1 2 3 1 4 1 3 4 1 1 4 1 2 2 2 1 3 2
## [18505] 1 3 3 1 2 2 1 4 3 2 2 1 3 1 3 3 3 2 1 3 3 2 3 1 3 2 1 1 1 2 3 1 2 3 3 1
## [18541] 2 1 3 3 3 2 2 3 4 3 1 1 2 2 2 3 4 1 4 3 1 3 3 3 2 2 2 2 2 3 2 2 2 1 3 1
## [18577] 4 2 1 3 3 4 2 2 4 1 2 3 3 3 3 3 4 3 2 3 3 3 3 1 1 1 1 2 3 2 4 2 4 3 1 4
## [18613] 1 3 3 3 2 3 2 3 3 3 3 1 1 3 3 1 3 2 1 2 1 1 1 2 4 4 3 1 3 2 4 2 2 3 2 2
## [18649] 3 1 2 1 2 3 4 2 4 1 4 3 3 3 2 4 3 1 2 1 3 1 4 3 2 3 4 1 3 2 2 3 3 3 4 3
## [18685] 3 2 3 3 3 4 2 1 4 4 1 2 1 1 2 1 3 3 2 1 4 2 2 3 3 3 2 3 3 3 1 2 3 3 3 2
## [18721] 3 1 3 1 2 3 1 1 2 1 4 2 2 2 3 2 3 4 3 3 3 1 3 4 2 1 2 3 3 4 2 2 4 3 3 1
## [18757] 4 4 1 2 3 4 2 3 4 2 3 1 3 4 1 3 3 3 4 3 2 1 3 3 4 2 2 1 1 2 1 3 1 4 4 1
## [18793] 2 2 4 3 4 4 3 3 4 2 4 1 1 4 2 3 3 3 4 3 1 4 3 2 3 3 1 3 1 3 1 2 1 3 2 3
## [18829] 4 4 3 3 2 1 1 3 1 3 2 3 3 3 3 3 3 1 2 4 1 3 1 2 2 1 1 3 2 4 1 3 3 3 3 3
## [18865] 2 1 3 2 2 2 3 3 2 4 2 3 2 2 3 3 3 3 3 1 4 3 2 1 4 3 3 1 3 2 2 3 3 2 2 3
## [18901] 4 3 2 2 4 4 4 3 2 3 2 3 1 2 1 3 1 2 1 1 3 2 3 1 1 3 1 3 2 2 2 3 1 2 4 1
## [18937] 1 4 3 1 3 3 1 2 3 2 3 1 3 3 4 1 3 3 1 2 4 3 3 3 1 1 3 1 2 1 3 3 2 4 3 4
## [18973] 3 4 3 4 2 1 1 1 3 2 1 4 2 2 4 3 1 1 4 2 2 3 3 1 3 4 2 4 3 4 3 3 3 3 4 2
## [19009] 1 2 3 2 3 1 4 1 4 2 4 3 4 3 3 4 4 2 3 1 4 3 4 2 1 1 2 3 3 2 4 1 3 2 3 3
## [19045] 1 4 2 3 1 2 3 2 1 2 2 2 1 1 3 3 3 2 3 3 3 3 3 3 2 3 3 1 3 1 1 1 1 1 3 2
## [19081] 3 1 3 1 3 3 1 3 1 4 3 3 2 1 3 1 2 4 3 1 2 3 3 1 2 2 1 2 3 4 3 3 3 2 3 3
## [19117] 1 4 3 1 3 1 3 4 2 1 2 3 1 4 3 3 3 1 3 3 1 3 4 2 3 3 3 2 2 1 2 1 2 1 2 3
## [19153] 1 2 3 1 3 3 3 3 3 2 2 3 3 4 2 4 2 2 3 3 1 3 3 4 3 2 2 3 1 2 3 2 2 3 2 2
## [19189] 1 2 1 1 4 3 3 1 3 3 3 2 1 1 3 1 1 3 2 1 1 1 1 1 3 4 3 4 4 2 3 2 3 2 3 1
## [19225] 3 3 3 3 3 3 2 1 1 4 4 1 3 4 2 4 3 3 3 1 2 3 3 3 1 2 3 4 2 3 3 2 1 3 3 2
## [19261] 3 2 3 3 4 4 3 4 1 2 3 3 1 4 1 3 3 1 3 2 1 3 3 2 2 2 4 4 1 1 3 1 3 1 3 3
## [19297] 2 3 2 2 4 1 1 2 3 2 3 4 2 2 2 2 3 3 1 2 3 4 3 2 4 3 2 2 3 2 1 3 4 3 3 3
## [19333] 1 3 3 3 4 2 1 2 1 3 4 2 2 3 2 3 3 3 1 3 1 3 3 1 1 2 3 3 4 3 1 2 3 3 3 4
## [19369] 2 3 2 1 2 1 1 2 1 2 3 2 2 1 1 4 3 2 4 2 3 3 4 1 1 4 1 1 2 2 3 3 3 2 4 2
## [19405] 1 2 3 1 3 2 3 1 3 3 3 1 3 2 1 1 1 3 2 3 1 3 1 1 4 3 3 3 3 3 1 2 4 4 1 1
## [19441] 4 3 1 3 3 2 4 3 2 2 2 3 4 3 3 1 3 3 2 3 3 3 2 3 3 3 2 3 2 2 4 2 2 2 1 3
## [19477] 2 3 2 2 2 1 3 2 3 4 4 1 1 3 3 3 3 3 3 2 2 2 3 3 3 3 4 1 4 3 3 1 3 4 3 3
## [19513] 3 2 2 3 3 3 3 3 2 3 2 3 2 2 3 1 3 2 1 1 2 1 4 4 2 3 2 1 2 2 3 2 4 1 3 4
## [19549] 3 1 2 3 2 4 1 3 2 2 2 1 3 2 3 2 2 3 1 2 1 2 1 3 3 3 3 3 3 3 4 1 4 3 1 3
## [19585] 3 3 3 3 3 1 3 1 4 4 3 3 3 1 3 1 2 2 3 1 2 4 2 3 4 1 3 1 2 4 2 4 4 3 3 4
## [19621] 3 4 2 3 3 1 3 2 1 3 4 3 4 2 2 3 4 3 1 3 3 1 2 1 3 2 2 2 1 1 4 2 2 1 3 4
## [19657] 2 3 1 3 2 4 3 3 3 2 1 3 2 2 1 1 4 1 1 2 3 1 2 4 4 1 3 4 1 3 2 3 2 1 1 3
## [19693] 3 1 2 4 1 3 4 3 1 2 2 3 2 1 1 3 2 2 2 2 1 3 3 2 2 3 3 2 4 3 1 1 3 2 2 4
## [19729] 3 2 4 1 2 1 1 2 2 1 3 1 4 4 2 3 3 1 3 3 2 1 4 3 4 4 1 1 1 4 2 2 2 4 3 2
## [19765] 2 1 1 1 1 4 1 3 3 1 2 2 2 1 3 4 3 3 1 1 4 1 3 3 2 1 1 1 3 4 2 1 3 4 2 4
## [19801] 2 2 1 2 1 3 3 3 2 3 1 4 4 3 3 3 3 3 1 1 3 3 3 3 2 2 3 1 2 2 3 3 3 2 4 3
## [19837] 1 3 1 1 3 3 3 2 3 1 2 3 3 1 4 1 3 4 3 2 1 3 3 4 3 1 2 2 2 3 3 4 2 3 2 1
## [19873] 3 3 3 1 1 3 4 2 3 1 2 4 3 2 1 3 2 3 4 3 1 3 2 4 1 3 1 4 2 4 2 2 1 4 2 3
## [19909] 2 1 2 1 2 1 4 2 3 3 1 1 1 3 3 2 2 3 3 2 2 3 3 2 1 3 4 1 3 4 3 2 3 1 1 2
## [19945] 2 2 3 2 4 2 3 2 4 1 3 3 2 3 2 3 1 1 3 1 3 1 3 3 2 2 3 3 2 2 2 2 1 3 3 2
## [19981] 3 4 4 3 4 3 3 3 1 3 2 3 3 4 3 2 1 3 3 3 1 2 3 4 4 2 3 1 2 3 2 1 3 2 1 1
## [20017] 2 3 1 1 1 2 2 1 3 3 1 2 1 3 3 2 3 3 3 1 2 3 2 2 2 1 3 3 1 2 3 2 4 2 4 3
## [20053] 3 1 4 2 1 3 1 4 2 3 1 2 3 2 3 1 1 3 1 1 3 4 4 1 1 3 3 3 1 2 1 4 1 3 3 1
## [20089] 4 3 3 2 2 2 2 1 2 3 3 3 1 3 1 3 1 1 1 3 2 1 1 4 2 2 2 3 4 3 2 1 3 4 1 3
## [20125] 3 3 3 1 3 1 3 2 1 2 4 3 2 3 4 3 1 1 3 1 4 2 2 2 3 4 1 1 1 3 3 3 3 1 3 4
## [20161] 3 1 1 2 3 1 1 1 1 1 1 4 4 3 1 3 3 3 3 3 3 3 2 2 3 3 2 4 2 3 4 3 4 2 3 3
## [20197] 1 4 4 3 1 2 2 3 2 2 4 1 1 4 3 2 4 2 1 3 1 4 1 3 3 2 2 1 1 1 3 4 3 4 1 4
## [20233] 1 3 4 3 2 1 3 3 3 2 3 3 3 2 2 3 2 2 2 3 1 4 3 4 2 3 2 3 3 1 3 1 2 1 1 3
## [20269] 2 3 2 1 3 3 2 3 3 3 1 2 3 2 2 4 2 1 1 3 2 2 3 2 2 4 3 2 1 3 2 3 4 2 3 3
## [20305] 1 4 3 3 1 3 2 4 3 3 3 3 4 3 3 2 4 2 3 4 3 2 1 2 2 3 2 2 4 3 1 3 1 1 4 3
## [20341] 3 3 1 3 3 1 4 2 1 2 1 1 1 2 2 3 4 2 3 3 1 1 1 1 3 1 2 2 3 1 1 4 2 3 2 3
## [20377] 2 2 4 2 1 1 2 2 2 3 4 1 1 4 3 3 2 2 3 3 3 1 3 2 2 1 2 2 1 3 3 3 1 2 1 3
## [20413] 2 1 3 1 1 3 3 1 4 1 2 3 3 1 2 3 4 4 1 3 2 2 2 1 3 2 2 2 2 2 3 4 2 3 3 1
## [20449] 1 3 3 2 1 4 1 2 3 1 1 4 4 4 2 2 1 2 1 3 4 1 4 3 2 3 3 3 3 1 3 1 2 2 3 3
## [20485] 3 3 2 3 2 2 4 3 1 3 2 1 3 4 3 3 2 1 3 1 1 2 4 2 1 2 4 3 4 3 3 2 3 1 3 3
## [20521] 2 1 1 3 1 4 4 4 2 1 2 2 1 4 2 2 1 3 1 2 2 4 3 2 2 1 2 1 3 4 3 2 1 1 3 1
## [20557] 4 4 4 2 2 1 2 3 3 3 2 2 3 1 3 3 2 2 3 2 4 2 3 3 1 3 2 2 1 2 2 3 1 4 3 3
## [20593] 1 1 4 3 2 3 4 3 3 3 1 4 2 2 2 2 3 1 2 2 3 2 3 1 4 3 1 1 2 3 3 1 3 1 2 4
## [20629] 2 2 2 3 3 2 1 2 1 3 3 3 3 3 1 4 4 3 3 3 2 1 3 3 1 2 4 3 3 2 2 3 1 4 2 4
## [20665] 3 2 3 3 3 2 2 4 2 3 3 3 1 3 3 3 3 3 3 2 4 4 2 2 3 3 4 1 1 2 1 1 4 1 1 4
## [20701] 1 3 2 1 1 1 1 2 2 1 2 3 3 2 3 2 3 4 4 1 3 1 3 3 2 1 3 3 2 3 4 2 3 3 3 3
## [20737] 1 1 1 3 1 1 3 4 3 1 1 2 4 1 4 2 3 3 3 1 3 3 3 3 3 3 3 2 3 3 1 1 3 1 1 2
## [20773] 1 2 1 2 1 3 3 3 2 2 4 2 1 2 1 3 3 3 1 1 3 1 2 3 4 3 3 4 2 2 3 4 4 1 3 1
## [20809] 3 4 1 4 2 1 2 3 2 2 3 3 2 2 1 4 1 2 2 1 1 3 3 1 3 1 3 3 1 1 4 2 3 3 1 3
## [20845] 3 4 3 2 3 3 3 3 2 3 1 3 3 2 1 4 2 1 1 4 2 2 2 2 3 3 3 1 4 2 3 3 3 3 1 3
## [20881] 2 2 3 2 2 1 3 2 3 2 3 3 3 3 3 1 3 1 3 1 2 4 1 3 2 4 2 2 1 2 3 1 3 2 2 3
## [20917] 2 3 2 2 4 2 1 3 2 2 4 3 3 2 1 3 1 3 3 1 1 1 3 3 2 1 3 3 3 3 1 1 4 3 3 2
## [20953] 3 3 2 3 3 3 2 4 4 2 1 4 2 2 4 1 3 4 2 1 2 4 3 4 2 3 3 1 2 1 4 3 3 1 3 1
## [20989] 1 1 1 3 3 3 3 3 3 4 3 3 2 1 3 3 3 4 1 2 1 3 3 3 4 3 2 2 1 4 3 3 1 3 1 3
## [21025] 1 1 3 3 1 4 2 2 3 1 3 3 1 3 3 3 3 2 3 2 2 2 1 1 1 1 3 3 3 3 4 3 2 1 1 4
## [21061] 4 1 3 2 1 2 2 3 2 1 3 3 2 3 3 1 3 2 1 1 2 4 2 2 1 2 3 3 2 1 2 2 2 3 3 1
## [21097] 3 1 2 3 2 3 3 4 3 2 3 1 1 2 1 3 4 1 1 2 2 3 3 4 3 3 1 3 1 2 1 1 1 2 3 4
## [21133] 2 3 1 3 1 2 1 3 2 3 3 3 2 2 4 4 3 2 2 3 3 3 3 1 4 2 3 2 2 2 3 2 3 3 1 2
## [21169] 3 1 2 1 3 1 4 2 3 2 1 1 2 2 4 1 4 2 2 3 3 3 4 2 2 2 2 3 3 1 3 3 2 3 3 1
## [21205] 2 2 2 2 4 3 3 3 3 2 1 2 3 3 1 3 2 3 2 2 4 3 2 3 3 2 4 1 1 2 4 2 2 2 4 1
## [21241] 2 3 3 3 4 2 4 1 4 2 1 1 2 1 3 3 2 3 3 1 3 2 1 3 3 1 3 3 4 3 3 1 1 3 3 3
## [21277] 1 1 3 1 1 2 2 4 3 2 2 3 3 3 2 2 3 4 3 3 1 1 3 3 2 3 3 4 3 2 3 2 1 3 1 1
## [21313] 4 2 1 1 4 1 1 1 1 3 3 3 3 1 4 1 3 3 3 1 1 1 2 3 1 3 3 1 1 4 2 1 3 2 3 3
## [21349] 4 2 3 3 3 1 3 3 4 4 4 2 3 2 4 2 1 2 3 3 1 2 1 1 2 1 3 3 1 2 2 1 3 1 4 3
## [21385] 4 1 2 4 4 3 3 1 3 3 3 2 3 2 3 1 3 3 3 3 2 3 2 1 1 3 1 1 1 2 1 1 2 2 3 3
## [21421] 2 2 3 3 3 3 4 1 1 3 1 1 1 1 3 1 1 3 3 1 3 3 3 2 4 2 3 2 2 2 4 1 2 2 2 2
## [21457] 1 3 3 3 2 4 3 1 3 3 3 2 1 4 3 2 3 2 2 3 1 2 2 3 1 2 4 3 3 3 4 1 3 1 3 2
## [21493] 3 4 1 3 1 4 1 3 2 2 1 1 1 2 3 3 1 1 3 1 3 4 2 1 2 2 3 3 3 4 2 1 3 2 1 3
## [21529] 1 3 3 2 2 2 3 4 2 1 2 3 1 1 3 3 3 2 3 1 1 2 1 1 2 1 2 4 4 4 4 1 3 1 2 3
## [21565] 1 2 1 3 2 2 2 3 1 2 2 3 2 4 2 4 1 3 1 4 1 4 3 2 3 3 2 1 2 2 1 3 3 2 3 3
## [21601] 3 3 4 2 4 3 1 2 1 3 4 1 3 1 2 2 2 2 1 2 4 4 2 3 3 4 1 4 1 1 4 2 1 4 1 3
## [21637] 2 4 3 3 3 1 3 2 1 1 3 3 3 3 3 2 1 1 3 2 2 1 4 2 1 3 1 3 3 1 3 3 3 2 2 2
## [21673] 3 3 3 2 2 3 3 2 1 4 3 1 2 1 3 4 2 2 3 1 3 4 3 1 2 2 1 2 2 3 2 3 3 3 4 3
## [21709] 2 4 2 4 1 2 2 2 4 1 3 3 3 1 3 3 3 2 2 2 1 3 2 4 3 3 1 3 3 3 3 2 3 2 2 3
## [21745] 3 2 2 2 3 4 2 1 2 2 1 4 3 4 3 2 1 2 2 1 2 4 4 4 3 4 3 3 3 2 1 3 3 2 3 3
## [21781] 1 4 4 4 2 3 1 4 1 2 3 3 3 2 1 3 2 2 3 2 4 1 3 3 3 2 2 2 3 3 4 4 3 4 3 2
## [21817] 3 1 3 3 4 3 3 2 2 4 1 3 4 2 1 3 2 3 3 3 1 1 2 1 1 1 1 2 3 3 1 3 4 3 1 3
## [21853] 4 2 3 3 1 1 2 2 3 3 3 2 3 2 2 3 1 3 3 4 1 2 2 2 3 3 1 1 1 2 3 1 3 2 3 2
## [21889] 3 3 1 2 1 1 4 3 1 1 1 3 3 2 2 1 4 3 2 2 1 3 3 3 3 2 2 2 2 4 2 3 3 1 1 4
## [21925] 4 4 1 3 1 3 4 3 1 4 4 3 4 1 3 1 2 2 2 3 3 3 4 2 3 2 4 2 3 3 2 4 3 1 3 2
## [21961] 2 2 4 2 4 1 2 1 1 3 3 3 2 4 3 1 4 4 2 3 3 2 1 3 3 3 1 3 2 3 1 2 3 4 2 2
## [21997] 3 4 2 3 3 1 1 2 3 2 4 1 3 4 3 2 4 3 1 2 1 2 3 3 2 3 3 1 2 3 2 3 3 4 2 2
## [22033] 1 4 1 3 1 2 4 4 4 2 3 1 1 2 1 4 4 3 3 4 3 1 1 1 4 1 2 3 2 1 3 3 2 1 3 1
## [22069] 4 1 2 3 2 3 3 4 1 3 2 3 2 2 2 4 2 3 2 1 3 3 1 2 3 2 2 3 2 3 3 1 2 4 1 3
## [22105] 2 2 2 1 1 2 3 1 3 1 2 2 3 3 4 2 3 3 3 4 3 3 3 4 3 1 2 3 4 1 2 3 3 2 2 2
## [22141] 2 3 2 3 4 4 1 2 1 1 2 3 2 3 4 2 2 4 3 4 3 3 4 2 1 3 1 3 4 1 1 3 3 3 3 3
## [22177] 3 2 1 3 3 3 1 2 3 3 2 2 1 3 3 2 3 2 3 4 3 4 2 1 2 3 1 4 2 3 2 3 3 3 3 4
## [22213] 4 2 4 3 2 3 2 4 1 4 2 4 2 1 1 2 1 2 1 2 4 1 2 1 1 2 3 3 2 1 2 3 2 3 2 4
## [22249] 2 4 2 2 4 3 2 1 1 4 1 2 3 2 1 4 3 2 2 3 3 2 3 2 4 3 3 2 4 3 2 4 3 4 3 1
## [22285] 1 3 1 3 1 2 4 2 4 3 2 3 4 3 2 4 1 2 1 1 3 2 3 4 4 2 2 3 3 2 3 1 1 2 4 3
## [22321] 4 2 1 2 1 2 3 3 3 2 4 1 4 3 1 3 1 1 3 3 2 4 3 3 3 2 3 3 4 2 3 1 1 1 4 4
## [22357] 2 3 2 3 3 2 3 2 3 3 4 1 2 3 3 3 3 3 1 3 4 3 2 2 3 3 1 3 2 2 2 3 2 4 4 4
## [22393] 3 2 4 2 2 2 1 3 3 3 2 3 1 1 3 1 1 1 1 4 2 2 3 3 2 1 4 1 4 2 3 1 4 3 3 1
## [22429] 3 1 2 1 3 4 1 1 3 3 1 3 4 4 4 1 1 1 1 4 2 4 3 2 3 2 3 2 1 2 3 3 2 1 4 3
## [22465] 2 2 3 2 3 3 2 3 2 2 3 1 3 2 2 1 1 4 2 1 4 3 3 4 4 2 3 3 1 3 1 2 3 4 3 3
## [22501] 3 3 3 2 3 1 3 1 3 2 1 3 4 2 3 3 3 1 1 4 1 1 4 1 4 3 2 3 3 2 2 3 3 3 1 1
## [22537] 3 1 3 2 3 3 1 1 2 4 4 2 3 2 2 3 3 1 1 2 4 1 4 2 4 1 3 3 3 3 2 3 1 1 3 4
## [22573] 1 1 3 3 3 2 2 1 3 2 4 4 2 2 2 3 3 3 4 3 2 3 3 2 1 3 1 2 3 3 1 1 3 1 2 1
## [22609] 1 3 3 2 1 1 2 1 2 3 3 2 3 1 3 3 2 2 1 2 1 2 3 3 2 2 3 1 2 4 1 2 1 3 3 3
## [22645] 1 1 3 1 3 3 3 4 3 3 3 3 1 1 3 3 1 4 3 1 1 1 1 2 3 2 2 1 2 1 2 2 3 3 4 1
## [22681] 4 1 3 3 1 3 2 4 3 2 3 1 4 2 3 3 3 4 1 3 4 1 3 1 2 1 4 2 3 1 3 2 4 2 2 3
## [22717] 4 3 3 1 2 1 2 3 3 3 1 1 2 3 2 2 3 4 2 4 1 3 3 3 2 1 4 3 2 2 1 3 3 1 3 2
## [22753] 2 3 4 2 4 2 3 2 1 1 4 3 3 2 3 2 1 1 1 3 2 4 3 2 1 4 1 2 2 4 2 3 3 4 1 3
## [22789] 3 1 3 2 4 3 1 3 3 3 2 2 3 2 2 2 1 4 2 1 4 1 1 3 1 3 2 2 1 3 3 3 3 1 1 1
## [22825] 3 2 2 3 3 1 3 4 2 4 3 2 2 3 1 3 3 1 1 3 4 1 1 2 3 3 3 3 1 4 3 1 1 3 1 4
## [22861] 2 3 3 1 1 3 2 2 2 4 3 3 3 3 1 3 4 1 3 1 4 1 2 4 3 4 4 3 3 2 1 2 3 3 2 1
## [22897] 3 4 3 3 3 3 4 2 3 1 1 4 3 1 4 2 4 2 3 3 1 2 2 2 2 4 3 2 1 1 3 1 2 1 1 2
## [22933] 1 3 3 4 3 3 1 2 1 1 3 3 4 2 2 3 1 3 4 3 1 3 1 3 3 3 1 4 3 2 1 1 1 3 1 2
## [22969] 2 3 2 4 3 4 3 2 3 2 3 1 3 3 3 3 3 2 4 3 3 2 4 2 1 3 1 1 4 1 1 2 1 1 4 3
## [23005] 2 3 3 3 1 3 2 2 3 1 1 3 3 3 1 2 3 3 2 1 2 2 1 2 1 3 3 3 3 3 3 3 3 3 1 2
## [23041] 4 1 3 3 1 3 3 4 3 4 2 1 3 3 4 3 2 2 4 3 2 2 4 3 2 1 1 2 3 2 1 1 2 3 2 4
## [23077] 3 3 3 4 3 1 1 1 1 2 1 2 3 2 2 3 1 1 1 3 3 2 2 1 2 3 1 2 2 3 4 1 1 2 2 1
## [23113] 4 1 2 3 1 3 3 2 2 3 3 3 4 1 1 3 4 2 3 1 1 3 2 3 4 2 1 3 2 1 4 4 2 4 2 3
## [23149] 3 3 1 2 1 1 2 4 2 1 2 1 2 2 3 3 3 3 3 3 3 1 2 3 4 1 3 3 2 4 2 1 3 3 1 4
## [23185] 3 2 3 2 3 3 2 1 3 3 1 3 3 3 3 3 4 3 3 3 2 2 2 2 2 4 2 2 1 3 3 1 2 3 4 4
## [23221] 3 3 4 1 2 4 2 3 3 1 1 2 3 4 3 1 3 3 4 2 3 4 2 4 3 1 3 3 2 2 1 2 2 3 3 3
## [23257] 2 2 3 1 2 3 1 3 3 3 3 4 2 3 1 4 1 3 3 2 3 2 3 3 4 2 2 2 1 2 2 1 3 3 3 3
## [23293] 2 3 1 2 1 1 2 3 2 1 3 3 2 2 1 1 1 3 2 1 3 4 3 2 4 2 4 3 2 3 3 1 2 1 3 4
## [23329] 4 2 1 1 3 1 3 2 1 1 1 3 4 3 3 2 3 1 4 4 2 3 2 2 1 4 4 3 1 3 3 1 1 2 2 3
## [23365] 1 2 2 3 2 3 1 1 1 3 1 2 1 3 2 2 3 4 4 1 1 3 3 2 1 3 4 2 2 2 4 3 3 2 2 2
## [23401] 3 4 1 3 2 1 3 2 4 2 3 2 2 3 1 1 2 1 2 4 2 3 1 1 1 3 3 3 4 4 3 3 2 1 2 3
## [23437] 3 2 3 1 3 1 3 1 1 1 2 3 3 3 2 1 3 4 3 3 1 2 3 2 2 2 1 2 2 2 1 3 3 1 3 1
## [23473] 4 4 1 2 2 3 2 4 2 1 1 1 3 3 3 4 1 4 1 1 1 3 3 3 1 1 3 1 3 2 1 1 1 1 2 4
## [23509] 4 1 4 3 2 3 1 1 2 4 2 3 2 2 2 4 2 3 2 4 2 4 2 3 4 2 3 3 2 3 3 3 4 4 1 4
## [23545] 3 2 3 2 3 4 3 2 2 3 1 1 3 2 2 3 3 1 4 3 3 3 1 1 2 2 3 2 3 3 3 3 1 3 4 3
## [23581] 2 1 4 2 2 1 3 1 3 1 3 1 2 2 1 3 2 1 3 3 4 1 3 3 4 3 2 1 1 3 3 3 3 3 2 2
## [23617] 4 3 4 2 1 3 1 4 2 1 3 3 3 2 1 3 1 4 3 3 1 3 2 3 2 2 1 4 4 2 3 2 2 2 2 2
## [23653] 2 3 1 2 1 1 3 2 3 3 3 2 2 1 3 1 3 3 3 3 1 3 3 4 3 3 2 3 3 3 3 3 1 2 2 1
## [23689] 1 3 3 2 1 4 3 2 4 1 3 3 2 3 3 3 1 2 1 1 3 4 3 2 3 3 2 3 4 3 1 3 2 3 4 1
## [23725] 3 4 4 1 1 1 1 3 3 3 3 3 2 3 1 4 4 3 2 2 1 4 2 3 3 1 1 1 1 1 3 2 2 4 2 4
## [23761] 3 3 2 1 1 4 1 2 2 1 1 4 1 2 3 1 3 3 1 3 1 3 3 3 1 2 2 1 1 2 1 1 1 4 2 3
## [23797] 1 2 3 3 1 3 3 3 4 1 1 3 2 2 3 3 2 3 4 3 4 2 3 3 3 1 3 3 4 3 3 4 4 1 2 3
## [23833] 3 3 1 1 1 3 4 3 1 1 1 4 3 2 4 2 3 2 1 2 4 4 2 3 1 4 3 3 1 3 3 3 2 3 4 1
## [23869] 1 2 2 4 2 2 2 1 2 2 3 3 3 2 4 2 2 3 4 4 3 3 1 4 3 3 3 2 4 3 4 3 1 1 2 3
## [23905] 3 3 2 2 1 3 3 4 1 3 1 4 3 2 2 1 3 2 1 3 3 4 3 2 1 2 4 3 3 3 1 3 3 1 3 1
## [23941] 3 3 2 4 4 4 2 4 1 1 2 4 3 2 1 4 3 4 3 2 2 3 3 1 3 3 3 1 1 1 2 1 3 2 1 2
## [23977] 3 1 3 1 1 2 3 2 3 1 1 2 3 2 3 2 3 2 3 2 4 4 2 3 4 3 1 3 3 4 4 2 3 3 4 4
## [24013] 3 3 4 2 3 2 3 2 3 3 2 3 2 3 3 1 3 3 1 2 3 3 3 1 2 3 1 1 3 2 2 2 1 4 2 2
## [24049] 3 2 2 3 2 3 1 1 3 2 3 3 4 2 2 1 3 3 3 3 4 2 1 1 2 1 1 2 4 3 1 3 1 3 2 3
## [24085] 3 1 1 3 3 2 3 1 3 3 2 2 2 3 2 2 2 3 1 1 2 3 2 1 4 3 2 1 2 3 3 2 4 3 3 3
## [24121] 1 3 3 3 1 1 2 1 1 2 3 3 4 3 3 1 2 1 3 3 3 2 2 2 4 2 2 3 2 1 1 1 4 3 3 3
## [24157] 1 1 4 4 2 3 3 3 3 1 1 3 4 2 1 3 2 3 2 4 1 2 4 1 2 1 3 1 1 2 2 3 2 2 3 1
## [24193] 2 3 2 1 3 1 4 3 3 3 3 2 2 1 2 2 1 1 3 2 3 2 2 2 3 1 3 1 2 1 3 3 3 4 4 2
## [24229] 2 4 1 3 1 1 3 2 2 3 4 3 4 2 3 3 2 3 4 3 1 1 1 3 3 2 3 1 2 3 3 1 2 2 3 3
## [24265] 1 2 3 2 2 1 1 2 1 1 3 1 2 2 1 4 1 2 3 3 3 1 3 1 1 1 1 2 2 3 3 3 2 3 3 1
## [24301] 2 3 3 2 2 2 1 3 4 2 2 2 3 1 3 4 2 4 1 1 4 3 2 1 3 3 1 1 2 1 3 1 1 3 2 2
## [24337] 2 3 1 3 2 3 3 3 2 1 4 3 3 4 1 4 2 2 3 2 3 2 1 2 3 3 3 4 4 3 3 3 2 2 1 3
## [24373] 4 2 1 3 3 4 1 2 2 3 2 1 3 3 2 1 1 2 3 3 1 3 3 1 4 3 1 1 3 3 1 2 3 1 3 2
## [24409] 3 2 3 2 1 2 3 1 2 2 1 2 3 3 2 3 3 3 3 3 2 4 1 3 3 1 1 2 2 2 3 3 2 2 3 3
## [24445] 3 3 2 1 2 2 2 2 2 1 1 3 3 2 4 2 1 1 3 2 3 2 3 3 3 2 2 3 2 1 2 3 1 1 3 2
## [24481] 3 1 2 3 1 1 3 3 4 1 4 3 1 2 3 4 2 2 1 4 2 3 4 3 3 1 3 2 2 4 4 2 2 3 3 3
## [24517] 3 2 4 3 1 2 2 3 4 3 1 3 3 1 1 3 2 1 1 1 3 4 1 4 3 2 4 2 3 1 4 3 1 3 3 3
## [24553] 3 3 1 3 4 2 4 3 3 4 2 4 3 4 3 1 3 3 2 2 3 4 2 3 3 2 2 3 3 1 2 1 4 4 3 4
## [24589] 4 3 3 1 3 3 3 2 3 3 3 2 2 3 3 3 3 1 2 3 2 1 2 2 4 3 1 2 2 3 1 3 1 1 3 4
## [24625] 2 3 2 3 2 2 4 4 2 3 2 2 3 1 1 3 2 1 4 2 1 4 2 3 3 3 1 1 2 3 3 3 1 3 3 2
## [24661] 3 4 2 2 1 3 4 3 2 1 3 3 2 1 1 4 4 4 3 2 1 1 3 2 4 3 2 3 2 2 1 2 1 2 3 3
## [24697] 2 4 1 1 1 1 1 3 3 1 4 2 2 4 3 1 3 3 2 4 2 2 3 2 1 2 3 2 2 1 1 2 3 4 2 2
## [24733] 1 3 2 4 3 3 1 3 4 2 3 2 3 1 3 1 3 1 1 3 1 1 1 4 3 1 3 3 2 2 2 3 2 2 3 1
## [24769] 3 1 2 1 1 1 3 1 2 3 2 3 3 4 1 3 2 1 1 2 3 1 3 4 1 3 2 1 3 4 3 1 3 2 3 2
## [24805] 3 4 1 1 3 3 3 4 1 3 3 4 1 4 2 2 4 2 2 4 2 3 3 3 3 4 4 1 1 2 3 1 1 2 2 2
## [24841] 3 2 3 3 2 3 2 1 3 2 2 3 1 1 3 4 3 3 3 2 3 2 2 3 3 2 3 4 1 3 3 1 1 3 3 2
## [24877] 3 4 2 3 2 3 2 2 1 1 3 4 3 4 2 3 3 3 2 2 2 3 3 2 4 4 2 2 3 3 3 3 3 4 3 2
## [24913] 2 2 2 4 1 4 3 3 3 2 3 4 2 2 3 3 2 3 2 2 2 1 3 3 3 3 1 2 3 1 4 1 3 3 3 1
## [24949] 3 3 1 2 2 2 3 3 4 2 1 1 1 3 2 2 1 3 4 2 2 1 3 2 2 4 3 3 3 3 1 3 2 2 1 2
## [24985] 3 3 4 1 3 2 1 2 4 3 4 2 3 4 2 3 3 4 2 2 2 3 4 2 1 1 1 4 3 2 2 3 3 1 4 3
## [25021] 2 3 1 1 2 1 2 3 1 2 3 1 3 3 3 4 3 3 3 1 3 3 3 3 1 3 3 3 3 2 2 1 3 3 3 1
## [25057] 1 4 2 2 3 1 4 2 2 2 2 3 1 3 2 1 2 1 4 3 2 4 1 2 3 2 1 3 2 2 4 2 1 3 2 1
## [25093] 2 2 3 3 1 3 1 1 1 2 1 2 3 2 1 2 1 2 3 1 4 3 1 2 3 3 3 2 1 1 3 3 4 3 1 2
## [25129] 3 3 3 2 3 1 3 1 4 3 1 4 3 3 1 3 4 4 3 3 2 3 1 1 4 1 1 2 3 2 3 3 1 4 3 1
## [25165] 4 2 3 1 2 4 4 2 3 4 4 4 4 4 2 3 1 4 3 2 4 2 2 2 1 2 3 2 2 4 1 3 3 2 2 4
## [25201] 2 2 1 4 3 3 3 3 1 4 3 2 1 3 1 1 2 2 2 3 2 1 3 1 2 2 1 3 2 3 2 2 3 2 2 3
## [25237] 1 2 2 3 3 2 2 4 1 1 1 2 2 3 3 1 3 1 2 1 1 3 3 1 3 3 3 1 3 4 1 1 4 2 3 1
## [25273] 1 1 1 2 2 3 3 3 2 2 2 2 3 3 2 2 3 4 1 3 3 3 4 3 3 4 3 3 4 1 3 2 1 4 2 2
## [25309] 1 2 3 3 3 1 1 1 3 3 3 2 4 1 4 3 1 3 1 1 4 3 2 3 2 2 3 1 2 3 2 3 2 1 4 4
## [25345] 3 3 1 3 2 2 2 3 1 3 3 2 4 1 1 2 3 3 1 2 3 2 1 4 4 3 1 4 2 3 2 2 2 2 3 1
## [25381] 4 4 2 1 1 4 4 3 2 2 1 4 3 4 3 2 3 1 3 3 3 2 4 1 2 2 2 3 3 2 2 3 3 1 2 1
## [25417] 3 4 4 1 1 3 2 2 1 3 2 2 2 3 4 3 2 3 3 2 2 3 4 2 2 1 1 3 1 2 3 2 3 3 3 3
## [25453] 3 3 4 3 1 1 3 4 3 3 4 3 1 2 1 2 2 3 3 2 2 1 3 1 1 4 4 4 1 3 2 3 2 2 3 1
## [25489] 2 2 1 4 1 3 1 3 1 2 3 4 3 3 3 3 3 1 3 2 3 3 2 4 1 3 1 1 3 3 3 4 2 2 1 1
## [25525] 3 3 3 2 3 4 2 1 2 1 1 3 3 1 2 1 3 2 1 3 4 4 1 3 2 3 3 4 3 3 1 1 1 4 3 1
## [25561] 3 4 2 2 3 3 2 3 1 2 1 2 3 2 2 2 3 3 3 3 4 1 2 3 2 3 4 1 2 3 4 3 3 2 4 4
## [25597] 3 3 1 2 3 3 1 3 2 3 3 3 2 3 1 1 2 2 1 2 3 3 2 1 3 1 3 3 2 4 3 4 1 2 3 3
## [25633] 2 2 3 2 3 3 3 2 2 1 2 3 2 4 1 1 2 3 2 4 3 3 3 1 4 3 3 3 3 3 4 3 1 4 1 3
## [25669] 2 3 3 3 3 4 2 2 3 2 1 2 4 3 1 2 2 1 3 3 3 4 3 2 1 3 3 3 3 2 3 2 3 3 3 3
## [25705] 4 3 2 3 3 4 3 1 4 3 2 2 1 2 3 3 4 4 3 2 3 3 1 1 3 2 2 3 2 4 3 2 2 2 2 3
## [25741] 1 4 3 2 3 1 2 1 4 1 1 3 3 3 3 3 2 1 4 1 4 3 4 3 1 4 2 1 2 4 1 1 4 2 2 3
## [25777] 2 2 3 2 1 1 1 1 2 2 2 2 3 2 4 3 1 1 2 2 4 3 2 1 1 2 2 1 3 4 4 3 2 1 1 3
## [25813] 4 2 1 2 4 3 1 3 1 3 4 1 3 4 3 1 3 1 2 4 3 2 3 1 3 3 3 1 3 3 3 1 2 4 4 1
## [25849] 4 2 2 3 1 1 1 3 1 1 3 1 1 4 1 3 2 2 3 1 2 1 3 2 3 4 1 1 1 3 4 3 1 1 3 1
## [25885] 1 4 3 3 3 3 3 3 2 4 1 3 2 3 3 2 1 2 4 2 4 2 1 1 3 4 1 1 1 4 3 3 4 1 2 2
## [25921] 1 2 3 4 3 2 3 4 4 2 1 3 3 2 2 1 3 3 3 3 2 3 3 1 3 4 4 3 3 3 1 4 1 2 3 3
## [25957] 3 3 4 1 3 4 4 1 1 4 2 1 2 2 3 4 4 2 2 3 3 3 3 4 3 3 3 3 3 2 2 2 4 3 2 1
## [25993] 2 1 3 3 2 2 2 1 3 3 1 1 3 1 2 3 4 2 1 1 3 3 2 3 1 2 1 2 3 3 1 3 3 1 3 2
## [26029] 1 2 4 3 3 2 3 2 1 4 3 4 4 3 3 3 3 1 3 4 1 3 1 3 3 3 3 3 1 2 4 3 1 4 3 2
## [26065] 1 4 2 4 3 1 2 3 3 3 2 4 2 3 1 3 4 3 3 4 3 2 3 1 2 3 1 2 2 3 3 2 3 3 2 1
## [26101] 3 1 4 1 1 1 3 3 2 2 3 3 3 2 2 4 3 2 1 2 3 4 1 3 4 3 1 1 1 3 4 3 1 4 3 1
## [26137] 2 1 2 1 3 2 4 3 2 4 1 2 1 2 2 3 2 2 2 2 2 3 3 1 2 1 2 3 1 1 1 3 4 2 1 2
## [26173] 3 2 3 3 3 3 1 4 2 3 1 3 2 3 2 2 2 1 2 3 1 2 1 3 3 3 1 2 3 2 3 2 1 1 3 2
## [26209] 1 3 4 1 1 2 3 1 3 2 4 3 3 4 2 3 3 4 2 3 1 1 3 1 3 3 3 1 3 4 1 1 1 3 3 2
## [26245] 2 3 4 2 3 1 1 3 3 4 1 2 3 3 2 3 3 2 4 2 2 4 3 2 1 3 1 2 3 3 2 1 2 2 3 4
## [26281] 2 1 3 1 3 4 1 3 3 1 2 1 1 1 2 3 1 1 3 1 1 1 2 4 3 1 3 2 2 1 4 4 1 2 3 2
## [26317] 2 4 3 2 2 1 3 4 1 3 1 3 2 2 4 3 3 2 3 3 2 3 2 1 2 1 2 2 3 3 3 4 3 1 2 3
## [26353] 3 4 1 2 3 3 1 1 3 1 2 3 2 1 3 3 1 1 3 3 3 2 4 2 4 2 1 4 1 4 2 2 1 2 1 2
## [26389] 3 3 2 3 1 3 3 3 2 1 2 1 2 3 1 2 1 2 3 2 2 3 3 2 3 2 4 4 1 4 3 2 4 3 3 1
## [26425] 3 2 1 3 3 1 1 3 3 3 3 4 3 2 2 2 3 4 3 2 3 1 2 2 1 1 4 3 2 1 3 3 3 2 1 1
## [26461] 3 3 3 2 1 4 1 4 3 3 3 3 2 3 3 2 1 3 3 3 2 4 2 1 3 3 3 4 2 3 3 3 3 4 1 1
## [26497] 1 4 3 4 1 1 2 4 2 1 3 2 3 1 3 3 4 2 2 2 2 3 2 1 1 1 3 1 2 1 3 3 3 1 3 2
## [26533] 3 2 2 3 2 1 3 1 3 3 1 1 3 3 3 2 2 3 1 1 1 2 4 4 2 1 1 1 2 1 2 2 1 4 3 3
## [26569] 1 1 1 3 3 3 3 3 2 2 1 4 1 1 3 3 2 2 1 2 2 2 2 3 3 3 1 3 2 1 1 1 1 4 1 1
## [26605] 2 3 2 3 3 1 2 3 3 1 2 3 3 1 1 3 4 2 1 2 4 2 2 2 1 3 3 1 2 2 2 3 2 3 2 3
## [26641] 1 3 2 3 4 4 2 2 1 2 4 1 2 2 3 4 4 4 3 1 3 4 3 2 2 3 4 3 4 4 2 2 2 2 3 3
## [26677] 3 4 3 1 2 4 2 4 3 4 2 2 3 3 1 2 3 3 2 3 3 4 3 2 3 3 2 1 3 2 3 4 3 3 2 4
## [26713] 3 3 3 2 3 2 2 3 1 4 3 2 2 1 3 3 3 2 2 2 4 4 2 1 2 3 3 3 1 2 3 3 1 3 2 3
## [26749] 4 1 3 4 4 3 3 4 3 4 3 4 3 4 3 1 4 3 1 3 2 1 3 2 3 4 2 1 2 3 2 1 1 1 2 2
## [26785] 1 3 3 1 3 3 3 3 1 3 2 4 3 4 3 4 4 4 2 1 3 3 1 3 1 2 4 2 2 3 1 3 2 2 2 4
## [26821] 2 1 2 2 2 2 4 3 4 4 2 2 2 2 2 1 1 2 3 2 3 1 1 4 4 2 1 1 3 3 4 2 1 2 1 1
## [26857] 2 1 3 4 3 2 2 1 3 3 1 2 2 1 2 1 4 3 3 3 2 2 2 3 2 2 2 1 4 1 3 3 2 4 1 3
## [26893] 1 3 3 3 2 1 4 4 2 1 4 3 3 2 3 3 3 4 3 1 4 4 1 1 4 1 3 2 2 2 4 3 1 4 3 3
## [26929] 1 1 3 1 3 3 4 3 3 1 3 2 3 1 3 3 1 2 1 3 1 1 1 4 1 4 1 4 3 4 3 3 3 1 1 4
## [26965] 3 3 2 3 3 2 2 3 3 1 4 1 3 1 2 3 3 1 3 1 1 4 1 4 1 3 2 3 2 2 4 4 2 3 3 2
## [27001] 2 4 2 3 3 4 1 2 3 3 1 1 3 2 2 4 4 3 3 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 4 2
## [27037] 1 1 1 1 4 1 4 3 3 2 2 3 1 1 3 3 3 3 2 3 2 4 3 2 4 2 3 3 2 3 3 3 3 2 1 4
## [27073] 3 3 1 1 3 1 3 2 3 3 3 2 3 3 2 3 3 1 1 3 2 3 2 3 3 4 3 1 4 3 3 1 1 3 1 4
## [27109] 1 1 1 3 3 2 1 3 2 2 4 1 3 2 1 1 1 2 1 3 3 2 3 2 2 2 2 1 3 1 3 1 2 2 1 3
## [27145] 1 3 3 2 3 3 2 3 4 2 2 2 3 2 4 1 3 3 1 3 3 3 1 4 1 1 2 2 1 3 3 1 1 1 2 3
## [27181] 1 3 1 1 2 3 1 3 4 3 1 2 3 3 4 1 4 1 1 3 1 1 1 3 3 3 3 4 3 2 2 3 1 2 3 3
## [27217] 1 1 1 3 1 3 1 3 4 3 3 1 1 1 4 3 4 2 3 1 4 2 2 3 2 3 3 2 3 2 3 2 2 1 1 1
## [27253] 3 1 1 2 2 1 2 3 1 1 3 3 3 2 3 2 2 3 3 3 1 1 1 1 2 3 1 4 2 2 2 2 3 2 3 1
## [27289] 3 3 4 4 2 1 1 2 3 3 4 2 4 3 1 4 2 3 1 2 3 3 3 3 3 3 3 2 2 4 1 1 1 3 3 3
## [27325] 3 3 2 4 3 3 2 3 1 1 3 3 1 4 3 1 2 3 2 3 2 3 1 1 3 3 1 3 2 3 4 2 1 4 1 4
## [27361] 3 4 4 3 3 3 3 4 1 3 2 3 1 2 3 3 2 4 2 3 3 1 3 2 3 4 3 3 3 3 4 2 1 3 4 2
## [27397] 3 3 3 3 3 3 3 2 3 2 2 2 4 2 4 3 3 3 2 2 4 3 2 4 1 4 2 4 4 2 4 3 3 2 1 2
## [27433] 3 2 3 3 4 1 1 2 3 2 1 3 1 4 2 4 3 3 2 3 1 4 4 3 1 2 3 3 2 1 3 3 4 2 1 1
## [27469] 4 1 2 3 2 4 4 2 1 3 2 1 4 2 2 1 2 2 1 1 4 2 1 3 1 4 1 3 3 1 3 1 2 3 2 2
## [27505] 1 1 3 3 1 1 3 2 1 2 2 3 1 1 2 1 1 3 3 3 4 3 3 3 3 1 1 1 2 3 2 1 1 3 3 3
## [27541] 2 4 2 1 3 3 3 4 4 2 2 1 2 3 3 4 2 2 2 4 1 1 2 4 3 1 1 3 1 3 2 3 3 2 3 3
## [27577] 4 1 3 3 4 3 1 1 4 3 3 3 3 3 3 2 2 1 3 3 3 3 1 1 2 2 2 3 4 1 4 1 1 2 3 2
## [27613] 1 4 3 3 3 3 1 2 2 3 1 3 3 4 3 3 1 1 2 1 2 3 1 2 3 1 1 2 1 2 2 1 1 2 2 1
## [27649] 3 2 3 2 3 4 1 2 1 2 1 3 2 2 2 2 2 1 4 2 1 3 1 3 2 2 3 1 1 2 3 2 3 1 3 3
## [27685] 3 1 3 3 4 3 2 1 2 2 3 2 2 1 3 4 2 1 3 1 1 1 3 3 3 1 1 4 2 3 2 2 3 3 2 4
## [27721] 3 3 1 1 1 2 1 3 3 1 3 3 3 3 1 2 1 3 2 4 3 4 3 3 1 1 3 3 2 4 2 2 3 2 3 2
## [27757] 1 2 3 3 2 4 2 3 3 1 2 2 1 3 1 2 3 4 3 2 1 3 2 1 4 3 2 3 3 4 4 2 2 3 1 4
## [27793] 4 1 3 2 3 1 2 2 2 2 4 3 3 1 1 2 1 3 1 3 3 3 2 3 2 3 4 3 3 3 3 3 2 2 1 1
## [27829] 1 4 3 4 1 1 1 2 4 2 3 3 2 3 2 3 3 3 2 3 3 3 1 2 3 1 1 1 3 2 3 3 2 4 4 2
## [27865] 1 3 3 2 3 2 3 2 4 2 1 2 3 1 3 1 2 3 4 3 1 3 4 3 1 4 1 3 3 1 3 3 3 4 3 2
## [27901] 3 3 3 2 2 1 1 2 1 3 3 2 3 2 2 1 1 1 1 3 2 1 1 3 1 3 3 3 3 3 3 2 1 1 4 4
## [27937] 2 1 1 3 2 3 3 2 3 2 3 3 3 1 1 4 3 1 2 3 2 2 2 3 3 1 4 1 3 2 4 4 3 3 1 3
## [27973] 1 2 1 1 1 1 2 3 3 1 2 4 1 1 3 1 3 1 1 1 1 3 2 2 2 2 3 1 3 3 1 4 1 3 1 3
## [28009] 1 2 2 4 1 4 3 2 3 1 2 1 3 3 1 4 1 3 2 3 2 3 2 2 3 2 1 3 4 3 2 1 2 4 2 1
## [28045] 3 3 1 2 2 3 3 4 3 3 3 2 1 3 2 3 3 3 4 1 1 2 1 3 3 1 3 4 1 3 1 2 1 3 3 3
## [28081] 3 3 2 3 3 1 1 3 2 3 3 3 2 2 3 2 3 1 3 1 3 4 1 2 3 3 2 4 3 1 3 1 2 2 1 1
## [28117] 1 2 4 1 1 2 2 2 2 1 3 2 2 3 2 2 3 2 1 2 4 4 1 2 3 1 4 3 3 1 4 1 1 3 2 4
## [28153] 3 2 2 3 3 3 2 3 1 3 1 4 4 1 2 4 3 3 3 2 4 3 3 4 4 2 3 1 3 1 1 1 3 1 1 4
## [28189] 2 2 2 1 3 1 2 4 3 4 1 3 2 2 2 3 3 4 2 3 2 1 3 3 3 3 4 1 3 4 3 3 4 2 1 2
## [28225] 2 3 3 2 3 3 3 3 2 2 3 2 3 1 2 3 2 4 3 2 4 2 1 1 4 1 1 1 1 1 3 2 2 2 1 2
## [28261] 3 1 1 3 1 3 2 1 1 2 1 3 2 2 1 1 1 1 1 4 2 4 2 1 2 2 1 4 3 3 2 1 4 1 2 3
## [28297] 4 2 1 2 2 3 2 3 2 2 1 1 1 3 3 3 3 1 2 3 2 4 3 2 1 2 3 1 4 2 2 1 4 2 3 2
## [28333] 2 1 2 2 2 3 4 3 2 1 4 2 4 1 1 2 3 3 3 2 3 3 3 2 1 3 4 1 2 4 1 3 4 3 4 1
## [28369] 2 2 3 2 3 4 2 2 1 1 4 3 2 4 3 3 1 2 3 2 2 3 3 4 1 2 2 3 4 1 2 2 1 4 3 1
## [28405] 1 1 4 2 1 1 3 3 1 3 2 4 4 4 3 1 3 3 2 3 3 3 2 1 1 1 1 3 2 1 2 1 3 2 3 4
## [28441] 3 1 3 3 3 1 3 3 1 2 3 3 3 2 2 2 2 1 3 2 3 1 3 3 4 1 3 2 1 3 3 4 2 3 4 3
## [28477] 4 3 2 1 1 3 2 4 2 4 3 1 3 1 4 3 2 3 1 4 1 3 1 4 1 4 2 2 4 3 1 1 3 2 1 3
## [28513] 1 2 1 2 1 3 2 3 3 3 3 1 2 4 3 3 4 3 2 3 1 2 4 4 1 1 1 3 1 1 4 4 1 1 3 1
## [28549] 1 3 3 4 2 3 1 1 1 3 2 3 1 2 1 4 1 1 1 2 1 1 2 1 3 2 3 1 1 1 2 2 3 4 4 2
## [28585] 4 2 1 1 2 4 3 3 3 1 3 3 1 3 3 4 3 4 3 3 3 3 3 2 2 1 1 2 4 2 2 3 4 3 2 3
## [28621] 3 2 1 3 1 3 1 1 3 2 1 3 1 3 1 2 1 1 3 3 3 3 3 3 2 3 3 4 1 2 2 3 1 4 2 3
## [28657] 3 1 3 2 3 1 4 4 3 2 1 3 2 3 1 2 1 1 1 3 2 3 2 4 2 2 2 1 3 2 3 3 1 2 3 3
## [28693] 3 4 3 2 3 3 3 3 3 1 1 2 2 3 3 4 3 3 2 2 2 1 3 3 1 4 3 2 3 2 1 4 3 3 2 1
## [28729] 1 2 2 1 2 4 2 2 2 3 1 1 1 3 4 2 1 3 2 3 4 2 3 1 3 3 4 3 3 1 1 3 3 3 2 4
## [28765] 2 2 1 2 2 3 3 3 3 4 2 3 3 3 4 1 2 3 3 2 2 2 1 2 4 2 2 3 3 3 3 4 1 3 1 3
## [28801] 1 3 1 2 2 1 3 3 2 4 3 3 4 1 3 3 3 3 1 2 3 2 4 1 2 2 3 1 1 2 1 1 2 4 4 2
## [28837] 1 1 3 3 3 2 3 2 2 4 3 2 2 3 3 1 4 4 4 2 2 3 1 4 1 4 1 3 3 1 3 3 2 1 4 3
## [28873] 3 3 1 3 4 2 3 1 1 3 3 2 3 3 4 2 1 3 3 1 3 1 2 3 1 3 4 3 3 4 3 2 3 3 1 2
## [28909] 3 3 2 3 3 2 3 2 4 3 2 2 3 4 3 2 3 2 1 1 3 3 1 3 3 4 2 4 3 2 1 4 2 4 1 3
## [28945] 1 1 1 1 1 2 3 1 3 3 2 3 3 3 1 1 3 3 3 2 2 1 1 3 1 1 2 2 3 3 3 1 3 3 1 1
## [28981] 2 2 2 2 2 2 3 2 2 1 3 3 4 3 4 4 4 1 3 3 3 3 3 4 3 1 2 1 3 4 2 4 1 3 1 1
## [29017] 3 2 2 4 2 2 3 1 1 2 1 3 2 1 4 4 1 3 2 1 1 1 4 2 4 2 1 3 4 2 2 3 1 4 1 3
## [29053] 3 2 3 3 3 3 1 1 4 2 1 1 2 3 3 3 3 2 4 2 3 2 1 2 3 1 3 4 3 3 3 3 1 1 4 1
## [29089] 1 3 1 1 2 4 2 1 2 2 3 1 1 4 2 3 2 1 1 2 3 3 1 1 3 2 3 4 1 1 3 2 3 2 4 3
## [29125] 3 4 4 3 2 3 1 1 2 1 3 2 3 1 3 2 2 3 4 1 2 1 1 1 4 1 1 3 2 1 1 1 2 2 1 1
## [29161] 1 3 1 1 3 2 3 2 3 1 1 3 2 3 3 1 3 1 3 2 1 1 2 1 4 4 3 1 2 1 1 3 4 1 3 3
## [29197] 3 4 1 2 2 1 1 3 2 4 2 2 3 2 2 2 3 3 1 3 1 4 1 1 4 4 4 2 4 2 3 2 1 3 1 4
## [29233] 3 2 4 3 3 3 1 4 2 2 2 3 2 3 3 2 1 3 3 2 1 3 2 3 1 3 1 3 4 2 1 2 3 1 1 3
## [29269] 2 3 1 3 1 3 3 4 1 3 3 1 3 1 4 3 1 2 2 1 3 3 4 3 3 2 3 3 1 4 4 1 3 3 1 3
## [29305] 3 3 2 4 2 3 2 2 2 4 2 3 1 1 3 2 2 2 2 2 2 1 3 1 3 3 3 4 2 3 1 3 3 3 2 2
## [29341] 3 4 3 1 2 3 2 3 2 3 1 2 2 4 3 2 2 3 3 1 2 3 1 1 2 2 2 4 3 3 2 2 3 2 3 4
## [29377] 1 3 1 1 1 3 1 1 3 4 1 4 4 4 2 3 1 1 3 4 3 3 3 3 3 1 2 2 4 1 4 1 2 1 1 2
## [29413] 1 2 4 2 1 2 3 2 1 3 3 1 4 3 2 1 3 4 1 1 3 3 1 4 4 2 1 2 4 1 3 1 1 3 1 2
## [29449] 1 2 2 2 3 1 2 1 2 1 1 1 2 2 3 1 2 4 4 2 1 3 4 2 3 4 1 3 1 3 3 3 3 3 3 1
## [29485] 3 1 3 2 2 3 3 1 3 1 3 4 3 1 4 4 2 3 1 2 4 1 3 1 2 1 3 2 2 3 2 3 4 3 3 1
## [29521] 1 2 3 1 2 1 2 2 2 3 3 3 3 4 4 4 2 3 3 3 3 1 3 2 2 2 3 2 3 2 2 3 3 1 1 3
## [29557] 4 1 2 1 1 3 2 2 3 2 1 3 4 2 1 3 1 2 4 1 2 1 1 1 3 3 3 3 4 3 3 4 1 3 3 1
## [29593] 4 2 2 3 3 2 3 3 3 4 2 2 3 3 3 2 1 1 1 3 1 3 1 1 2 1 4 2 4 2 2 1 1 3 2 3
## [29629] 3 1 3 3 3 3 3 3 1 3 3 3 3 4 3 3 1 1 2 3 3 1 2 3 2 2 2 1 2 2 3 4 4 3 2 2
## [29665] 2 2 2 1 2 3 4 3 1 4 3 2 2 3 3 2 4 3 1 1 2 3 2 1 4 1 2 2 4 3 4 2 1 3 2 1
## [29701] 3 1 2 3 1 1 2 4 1 1 3 3 3 2 2 4 3 1 3 1 1 1 1 3 2 2 1 1 2 2 3 4 4 2 2 2
## [29737] 2 2 3 1 1 2 3 1 3 2 2 1 1 2 1 3 1 3 4 3 2 3 3 4 4 2 2 3 2 1 2 2 3 4 3 3
## [29773] 4 3 1 1 2 2 2 3 1 1 3 3 2 4 1 1 2 3 1 3 1 3 2 3 1 3 2 3 3 2 3 1 3 2 1 3
## [29809] 4 1 4 2 3 2 4 2 2 3 2 3 1 3 4 3 3 3 2 2 3 1 1 1 2 2 1 3 3 3 1 1 2 3 2 3
## [29845] 1 2 4 3 1 3 3 2 1 3 3 2 2 2 3 2 4 2 4 3 1 4 1 2 1 3 1 3 3 2 3 1 2 1 2 3
## [29881] 2 3 2 4 3 3 3 2 3 2 3 1 2 2 2 3 2 1 2 3 3 2 3 2 3 1 2 3 3 3 3 1 3 2 2 2
## [29917] 2 3 3 1 3 3 3 1 2 2 1 2 4 3 1 2 2 3 1 4 1 3 3 3 3 2 1 3 2 2 1 2 1 2 2 1
## [29953] 3 1 2 4 4 1 4 4 3 3 4 3 3 2 1 2 1 1 2 3 1 4 2 3 2 2 2 3 3 3 2 3 3 1 3 4
## [29989] 2 3 2 2 2 2 2 1 2 3 3 1 1 1 3 3 2 2 2 1 1 2 2 1 3 4 4 4 2 2 1 1 3 3 2 1
## [30025] 3 3 3 2 3 3 3 3 3 1 2 3 3 4 2 3 3 3 3 3 3 1 1 3 3 2 2 2 3 1 1 1 3 4 3 4
## [30061] 3 3 2 1 1 3 4 2 3 2 1 1 2 2 2 2 3 1 1 2 3 2 3 3 3 1 3 3 2 1 2 1 2 4 1 1
## [30097] 3 1 1 3 2 3 2 2 3 4 2 2 1 2 1 1 2 2 3 1 3 3 1 1 2 3 3 2 1 1 4 1 3 3 2 3
## [30133] 1 1 3 4 1 3 3 1 3 4 3 3 2 1 3 3 4 2 2 1 3 4 2 3 3 2 2 3 3 2 3 1 4 3 4 1
## [30169] 1 3 3 3 3 3 3 2 3 1 1 3 1 3 3 2 3 3 2 3 4 4 1 1 2 3 2 4 3 3 4 4 1 3 2 2
## [30205] 2 2 3 3 3 2 4 1 3 3 3 1 2 3 1 2 2 3 1 3 3 2 1 3 1 3 2 1 1 3 1 2 3 2 2 1
## [30241] 3 2 2 3 1 3 2 3 3 2 1 1 2 2 4 1 4 4 3 2 2 3 1 3 2 1 3 2 3 2 2 2 2 4 3 4
## [30277] 2 1 1 2 4 2 1 1 1 2 1 3 3 1 1 1 3 3 4 4 2 4 3 3 3 2 3 1 4 1 2 1 1 4 3 3
## [30313] 2 1 1 1 3 4 3 1 4 2 3 4 2 3 3 4 1 2 1 3 4 3 4 3 4 1 3 2 2 3 4 2 2 4 2 1
## [30349] 3 3 3 1 2 3 3 2 3 2 4 1 3 3 3 2 1 2 2 3 1 2 2 1 1 1 2 3 3 2 4 4 1 3 2 3
## [30385] 3 3 2 3 2 3 2 1 3 1 1 2 4 3 4 4 3 2 4 4 2 1 1 1 2 2 1 1 3 1 1 1 3 3 3 1
## [30421] 2 4 3 2 3 1 2 1 4 3 1 4 3 4 3 3 2 3 3 2 1 3 1 2 1 3 4 4 1 1 3 3 2 2 3 2
## [30457] 3 1 2 3 3 4 3 1 4 3 1 2 2 2 2 2 1 3 2 3 2 4 4 3 3 1 3 1 4 3 3 1 3 2 3 3
## [30493] 1 2 4 3 1 3 1 3 3 4 3 1 3 1 1 4 3 2 1 3 1 4 3 3 3 3 4 4 1 2 3 1 3 3 1 2
## [30529] 1 4 1 2 2 3 4 1 1 2 3 3 3 1 1 1 1 4 3 3 1 2 4 2 2 4 1 2 3 3 2 2 3 4 2 2
## [30565] 1 2 2 1 2 3 2 2 3 3 1 4 1 3 3 2 3 2 3 3 3 3 3 1 4 2 1 2 3 1 1 3 3 4 3 3
## [30601] 1 4 3 4 1 2 3 4 2 2 4 1 1 2 4 2 1 4 3 3 3 1 3 2 1 3 3 3 2 3 1 1 4 2 3 3
## [30637] 4 3 3 3 3 3 2 2 4 1 3 3 4 4 3 3 1 1 1 3 2 3 4 3 3 2 1 2 2 2 1 4 3 4 2 4
## [30673] 3 1 3 3 3 3 1 1 3 3 4 1 1 3 3 1 1 1 1 3 2 1 2 3 2 2 3 2 2 2 2 2 3 3 1 3
## [30709] 1 3 1 3 2 1 1 1 2 3 2 3 4 3 3 3 3 4 3 1 4 3 3 1 3 3 2 3 3 4 3 3 1 3 3 2
## [30745] 2 3 4 3 3 2 1 3 3 3 2 3 3 3 1 2 3 2 4 2 3 3 4 3 2 3 3 3 4 3 1 1 3 2 1 1
## [30781] 1 3 3 4 3 1 3 2 1 2 4 1 3 3 1 1 4 4 3 4 3 2 2 4 3 1 2 3 1 3 2 3 2 1 1 3
## [30817] 2 2 3 3 2 4 1 3 2 1 1 1 4 1 3 2 2 3 2 1 3 1 1 1 2 4 3 2 3 1 2 1 1 1 1 2
## [30853] 2 1 3 4 3 1 1 2 3 2 4 3 3 1 3 3 2 2 1 4 1 3 4 3 3 2 3 1 2 3 4 4 3 4 1 3
## [30889] 2 1 1 4 4 1 4 3 2 3 3 4 2 4 1 1 1 2 3 3 3 3 1 2 4 1 3 1 1 3 3 3 3 2 4 2
## [30925] 2 2 2 2 2 2 1 3 2 3 3 4 3 2 3 3 3 2 2 3 1 3 4 4 2 2 3 4 2 2 1 3 2 2 2 1
## [30961] 3 3 4 3 3 3 2 1 4 2 2 2 3 1 2 3 3 1 3 4 1 1 3 1 3 2 1 2 4 1 1 3 3 2 3 4
## [30997] 2 4 2 1 1 2 3 1 3 1 2 3 2 3 3 1 3 2 3 2 2 1 3 2 3 2 3 1 3 4 2 1 1 1 3 4
## [31033] 2 1 2 2 2 2 1 4 2 1 3 2 2 1 4 2 2 3 3 3 1 1 1 2 3 2 3 2 2 2 2 2 3 2 2 2
## [31069] 1 3 3 3 2 3 2 3 3 2 3 2 3 2 1 1 1 2 2 4 2 2 2 2 3 3 2 3 2 3 4 2 2 3 3 4
## [31105] 3 1 3 3 2 2 3 1 3 2 1 3 2 3 2 4 2 2 2 3 3 1 3 3 3 1 4 2 2 3 3 4 1 3 3 3
## [31141] 2 3 3 1 3 1 4 3 4 3 3 1 3 3 2 4 1 4 3 2 3 2 3 2 1 2 1 3 3 3 3 1 2 3 3 4
## [31177] 4 4 4 1 2 1 2 1 1 1 3 1 4 3 1 3 4 3 3 1 3 3 1 2 1 1 1 4 1 3 2 1 2 4 1 4
## [31213] 3 2 2 3 3 1 2 3 2 1 3 1 3 2 3 2 2 3 1 2 3 1 4 4 2 3 3 1 3 3 1 1 4 3 2 2
## [31249] 2 1 3 3 2 3 3 1 4 3 3 3 2 3 1 3 3 3 1 3 3 1 2 1 3 1 2 4 4 4 2 1 3 2 1 1
## [31285] 3 1 1 1 1 2 3 1 1 2 3 2 3 1 3 3 3 2 3 3 4 3 3 2 3 4 2 2 3 3 2 3 3 2 3 1
## [31321] 1 1 3 1 1 3 1 1 3 1 1 1 3 1 2 3 4 3 1 2 3 1 3 1 1 3 4 2 2 2 4 3 4 3 4 1
## [31357] 3 2 3 4 3 3 1 1 1 3 1 4 1 2 1 2 3 3 2 4 1 2 3 3 2 3 1 3 2 1 3 3 1 2 2 1
## [31393] 2 1 4 3 1 3 2 1 3 3 3 3 1 4 3 2 3 1 1 4 1 3 3 1 1 2 3 4 2 2 1 3 3 3 4 3
## [31429] 3 2 1 1 4 1 3 2 2 4 2 3 3 1 2 3 1 4 4 3 1 2 3 2 2 3 2 3 3 1 3 3 1 3 4 2
## [31465] 1 1 3 2 3 2 1 3 3 1 3 2 2 2 1 4 3 1 1 1 1 1 3 4 4 3 3 3 3 3 2 3 1 4 2 2
## [31501] 3 3 3 4 3 2 3 4 3 2 1 3 1 2 4 1 3 1 1 4 1 3 2 1 3 3 3 1 1 2 2 2 2 2 3 1
## [31537] 1 3 4 4 3 3 1 2 3 3 4 1 2 2 3 2 3 2 1 4 3 3 3 2 3 3 1 2 4 4 1 4 1 2 2 2
## [31573] 1 3 2 3 4 3 4 2 4 3 2 1 3 2 1 2 4 2 2 1 2 2 3 4 1 3 3 3 2 2 3 3 3 3 3 1
## [31609] 2 4 2 3 3 1 3 1 1 3 3 3 1 4 3 2 3 2 1 4 4 2 1 3 3 1 1 3 1 3 3 2 1 3 3 1
## [31645] 2 3 2 3 3 3 1 4 2 2 1 3 1 3 4 4 4 3 2 4 3 3 3 1 3 1 4 3 1 3 3 3 1 1 1 2
## [31681] 1 4 3 3 3 2 4 4 1 3 3 2 1 2 1 4 2 3 2 1 3 1 1 3 3 2 2 2 3 4 1 2 3 1 1 3
## [31717] 1 4 3 4 3 2 1 2 3 1 4 3 1 1 1 2 1 3 2 2 1 3 3 3 2 2 1 3 1 2 2 4 3 2 3 3
## [31753] 3 4 3 2 4 3 2 2 3 3 2 4 3 4 3 1 3 2 3 3 2 4 1 1 2 3 3 3 1 2 3 4 1 3 3 1
## [31789] 2 2 3 1 2 1 3 3 3 3 3 4 2 4 1 1 1 2 3 3 3 3 4 2 3 2 3 3 2 3 3 1 4 2 2 3
## [31825] 2 2 3 1 1 2 2 2 4 3 3 1 4 4 3 2 2 3 2 2 2 2 1 3 3 2 3 3 3 3 4 2 3 3 3 2
## [31861] 3 2 3 2 4 3 4 1 2 4 3 3 2 1 4 1 2 4 1 3 3 4 3 2 4 1 1 3 4 3 2 3 2 1 1 3
## [31897] 3 3 3 2 3 2 3 2 4 3 3 3 4 3 3 2 1 4 3 4 3 3 3 3 2 2 3 3 2 1 4 2 3 2 3 1
## [31933] 2 2 4 2 3 1 3 2 1 3 1 3 3 3 1 3 2 2 3 1 2 2 2 2 2 1 4 3 1 1 3 1 2 1 4 3
## [31969] 1 3 1 3 1 3 4 1 2 1 1 3 2 1 1 3 3 2 4 2 1 3 3 2 4 3 3 3 3 1 3 1 3 3 4 2
## [32005] 4 4 2 1 2 1 1 3 3 2 3 1 4 1 1 3 2 1 2 3 2 1 3 3 2 4 1 3 3 3 3 1 2 3 2 4
## [32041] 2 1 1 2 2 3 4 4 3 3 2 3 2 3 2 4 3 2 3 3 2 4 4 2 3 1 4 3 1 2 1 1 3 2 4 2
## [32077] 1 3 2 1 3 1 2 1 3 3 1 3 3 4 1 2 1 2 2 1 2 2 4 3 1 2 3 2 1 3 3 3 3 1 4 2
## [32113] 3 3 3 3 4 4 1 1 1 3 3 1 1 3 1 1 2 4 2 1 2 2 3 1 1 3 4 3 3 2 2 3 1 2 2 1
## [32149] 3 3 1 2 2 3 3 1 3 3 3 3 2 2 3 3 1 2 3 1 4 2 3 3 2 3 3 1 1 1 3 3 3 1 2 4
## [32185] 3 1 4 4 3 2 2 2 1 3 1 1 3 3 2 2 1 2 3 4 3 3 1 2 2 3 4 2 1 3 3 2 3 1 2 2
## [32221] 2 1 4 2 1 2 3 2 3 2 2 3 2 3 3 2 3 1 2 1 3 3 3 2 2 3 1 1 4 1 1 1 3 1 3 4
## [32257] 1 3 3 1 4 3 1 2 3 3 1 3 3 2 2 1 3 1 3 2 3 3 1 3 4 3 3 3 3 3 3 3 2 4 2 2
## [32293] 4 3 3 4 3 3 3 3 3 3 3 1 2 1 3 4 3 3 3 1 2 3 3 2 2 2 4 3 2 2 3 3 3 3 1 3
## [32329] 3 3 4 4 2 4 3 3 4 3 4 4 1 4 1 2 2 2 3 2 3 1 3 1 4 4 3 2 2 2 2 4 1 3 2 3
## [32365] 1 3 2 2 3 3 3 2 1 4 3 3 1 3 1 3 3 1 3 2 1 3 2 3 3 4 2 1 2 3 2 1 1 2 2 1
## [32401] 2 1 1 4 3 4 4 3 3 1 1 3 4 1 2 1 2 2 1 1 1 3 3 4 3 1 3 3 4 3 1 2 2 2 1 3
## [32437] 2 3 3 4 2 3 2 3 2 3 4 3 3 1 3 4 3 2 1 1 2 3 3 2 2 3 1 1 4 2 3 3 3 1 2 3
## [32473] 2 2 3 2 3 3 3 2 2 1 1 3 1 2 1 2 1 4 1 1 3 2 3 3 1 2 4 2 2 2 2 3 3 3 2 3
## [32509] 3 2 4 3 1 2 2 4 3 3 4 2 4 3 1 2 2 2 2 2 3 1 3 3 4 3 3 2 4 2 3 1 2 3 3 2
## [32545] 3 1 3 2 2 2 1 3 3 4 3 2 4 2 2 3 3 3 3 1 2 3 2 1 1 3 4 2 3 2 3 3 3 1 1 1
## [32581] 4 2 3 2 3 2 2 2 2 4 3 1 1 3 2 4 2 4 3 3 2 2 1 2 3 3 2 2 3 1 2 3 2 3 2 2
## [32617] 1 3 3 3 1 2 2 4 2 3 4 3 4 3 3 1 3 4 4 1 2 4 2 1 2 2 2 3 3 3 3 1 3 2 1 3
## [32653] 2 1 3 3 2 2 2 3 3 2 3 3 1 4 2 2 3 4 2 3 3 1 3 3 2 2 3 4 1 2 3 3 4 2 3 1
## [32689] 4 2 1 1 1 3 2 1 4 2 1 3 2 3 4 1 2 2 4 1 1 3 3 3 2 2 3 2 4 4 3 4 3 1 3 3
## [32725] 1 3 2 4 3 4 3 3 3 3 4 1 3 3 1 2 2 3 3 4 1 3 1 3 4 3 2 4 2 3 2 4 3 4 2 4
## [32761] 3 2 2 2 4 1 3 3 2 2 2 2 3 2 2 1 4 1 1 2 1 3 1 3 3 3 1 2 1 4 3 2 3 3 2 2
## [32797] 2 3 2 3 1 2 2 1 3 2 1 3 3 4 3 3 4 3 1 2 1 3 1 1 1 3 4 3 2 2 3 3 3 4 3 2
## [32833] 1 1 4 4 3 3 4 3 4 3 1 3 4 3 2 3 2 1 3 2 2 1 1 2 1 2 1 1 2 3 4 1 2 3 3 2
## [32869] 3 1 4 2 1 4 4 2 4 3 1 3 2 3 3 1 3 3 3 3 2 2 3 2 3 3 3 3 1 2 1 1 2 2 1 4
## [32905] 3 3 2 1 2 2 3 3 2 2 3 2 2 2 2 3 1 3 4 4 2 2 2 3 4 3 3 1 1 2 3 3 3 4 3 1
## [32941] 3 3 4 2 4 3 3 2 2 3 3 4 2 3 3 1 2 3 2 3 3 1 3 2 4 1 3 3 2 1 2 3 4 3 3 2
## [32977] 1 2 2 2 2 3 3 1 1 3 1 1 1 1 3 1 1 2 4 3 3 2 3 4 1 3 2 3 3 2 2 3 3 1 3 1
## [33013] 3 1 1 2 1 1 3 2 3 4 1 4 4 3 3 1 4 4 4 2 3 3 2 3 1 2 2 3 3 4 3 1 2 3 3 1
## [33049] 2 3 1 2 2 3 3 2 3 1 2 2 4 1 3 3 3 3 4 3 2 1 2 3 1 3 1 4 1 4 3 3 4 3 2 3
## [33085] 2 1 3 3 3 4 1 3 1 1 3 1 1 1 2 3 2 3 4 1 2 2 3 3 1 1 3 3 3 3 2 1 3 3 4 1
## [33121] 4 2 1 3 2 3 3 2 3 3 3 2 3 1 3 4 3 4 1 4 3 4 3 2 3 1 1 2 4 1 1 4 1 2 3 2
## [33157] 1 4 3 1 3 3 3 1 1 3 3 3 4 1 1 1 2 1 1 3 2 2 2 3 4 2 2 2 2 3 1 4 1 2 3 3
## [33193] 2 3 3 2 3 2 4 2 3 1 1 3 3 1 1 1 3 1 4 3 1 3 1 4 3 2 2 3 2 1 2 3 1 1 3 3
## [33229] 3 2 3 1 3 2 3 3 4 3 2 3 1 1 3 4 3 2 1 4 1 1 3 2 4 3 4 3 3 1 3 3 2 4 3 4
## [33265] 2 2 1 2 3 1 3 3 4 3 4 3 1 2 1 4 2 1 4 2 4 2 2 1 4 1 1 3 2 2 3 1 3 3 4 4
## [33301] 2 1 4 2 3 4 1 2 1 1 2 3 1 1 4 3 2 1 3 2 2 3 3 2 1 1 1 3 4 3 1 3 3 3 1 2
## [33337] 4 2 3 1 4 4 2 1 3 2 3 2 3 3 3 2 4 1 2 1 1 3 2 3 1 1 3 3 2 3 3 1 3 3 2 3
## [33373] 2 2 2 3 2 2 3 4 3 4 2 2 3 3 2 2 1 3 2 2 3 1 1 3 3 1 4 3 3 1 1 1 1 2 4 2
## [33409] 3 4 1 2 3 2 3 3 3 3 4 3 3 2 1 2 1 1 3 3 2 3 2 1 4 3 4 3 2 2 4 3 4 2 1 2
## [33445] 4 1 2 1 3 1 1 3 1 3 1 1 1 1 4 3 3 2 4 2 1 2 3 3 4 4 4 3 2 3 3 1 3 4 2 4
## [33481] 1 1 3 1 3 3 1 2 2 2 3 1 3 1 1 4 3 3 3 2 2 2 3 3 4 4 3 1 1 1 4 1 3 1 3 3
## [33517] 4 3 3 4 1 4 3 1 3 3 2 3 3 3 2 1 1 3 3 3 3 3 4 3 2 1 3 4 1 1 1 1 1 2 1 3
## [33553] 1 3 2 3 2 4 3 3 2 3 3 1 4 2 4 3 2 3 3 2 4 1 2 2 3 3 1 2 3 2 3 1 3 2 4 1
## [33589] 3 4 1 2 2 2 1 3 2 3 1 2 3 3 1 1 3 3 1 4 1 3 1 2 1 3 4 2 3 4 3 2 1 3 3 3
## [33625] 3 3 2 2 1 3 3 1 2 3 3 3 2 4 1 2 3 3 3 4 2 2 3 4 2 3 3 3 4 2 4 2 3 3 2 1
## [33661] 4 3 1 3 1 2 1 2 2 2 1 1 3 4 3 1 4 3 2 3 2 3 2 3 2 1 1 3 1 2 1 2 4 1 3 3
## [33697] 2 3 2 3 2 3 1 1 2 4 4 1 4 3 3 2 3 1 3 4 3 3 3 2 4 1 2 3 3 3 4 3 4 1 3 2
## [33733] 2 2 3 2 4 1 3 4 3 1 3 3 1 2 1 3 1 4 1 3 3 4 2 1 4 1 3 3 3 2 3 2 4 1 3 2
## [33769] 1 3 2 1 1 3 2 3 3 2 4 3 3 3 4 1 1 2 2 1 3 3 4 1 2 4 4 2 1 3 1 1 4 3 2 3
## [33805] 1 1 2 3 4 1 1 2 1 1 3 2 2 3 3 4 1 1 3 3 3 2 1 3 4 3 2 3 3 2 3 1 2 2 2 3
## [33841] 2 2 1 3 4 3 1 2 1 3 3 3 4 1 2 3 3 3 1 2 3 2 3 3 3 1 1 2 4 1 2 1 3 3 2 1
## [33877] 4 3 1 1 1 3 3 3 2 3 2 4 3 3 2 2 4 1 1 3 1 3 2 3 4 3 4 1 4 3 1 1 4 3 4 3
## [33913] 2 2 1 4 4 4 4 3 1 2 3 2 3 4 3 1 2 3 1 2 3 2 1 3 2 4 1 3 2 3 3 2 2 2 3 3
## [33949] 3 2 2 1 3 3 3 3 1 3 2 3 3 3 1 2 3 1 2 2 3 3 4 1 4 3 3 3 3 2 1 2 4 2 1 2
## [33985] 4 4 2 3 3 2 2 3 3 4 2 2 2 1 3 3 3 3 1 1 1 1 4 3 1 3 3 2 3 3 1 1 1 3 2 2
## [34021] 1 3 3 2 2 4 3 2 3 4 2 4 3 1 1 4 1 4 2 3 2 1 3 1 1 2 3 2 2 3 2 2 3 2 3 2
## [34057] 1 3 3 3 3 3 1 1 4 1 2 3 3 1 3 2 3 3 3 2 3 2 1 2 4 2 1 1 3 1 3 2 4 3 2 4
## [34093] 2 4 3 4 3 1 3 3 2 1 1 3 3 4 2 3 3 2 4 4 1 3 3 3 1 1 4 1 1 1 1 2 1 1 2 2
## [34129] 4 2 1 3 2 3 3 4 3 2 3 2 2 3 1 2 3 4 1 4 1 1 3 3 3 3 2 1 4 3 1 1 3 2 1 3
## [34165] 3 4 3 3 1 2 2 3 1 3 1 2 1 1 4 1 3 2 3 2 2 2 3 4 4 1 2 4 3 2 3 2 3 3 3 3
## [34201] 1 3 2 1 1 1 2 3 2 3 1 1 3 1 1 3 2 2 1 4 2 2 1 1 2 3 3 2 3 3 3 3 4 4 4 1
## [34237] 3 3 2 4 3 2 1 1 1 3 3 3 3 3 3 4 1 2 3 1 2 3 2 1 2 1 3 2 4 1 2 4 3 3 3 1
## [34273] 1 3 1 1 1 3 2 3 2 3 4 1 3 2 1 2 3 1 3 1 1 3 2 2 1 4 1 2 3 3 2 4 1 2 1 1
## [34309] 3 1 3 3 1 2 1 1 1 1 4 3 3 3 3 1 4 3 2 1 3 2 3 2 4 2 2 2 4 2 2 2 3 2 1 2
## [34345] 4 4 1 3 3 2 1 1 3 3 1 3 2 3 2 3 2 1 3 1 1 2 1 2 1 3 1 3 2 4 3 1 2 3 3 2
## [34381] 1 3 3 3 4 1 1 1 2 2 2 1 3 4 3 3 3 3 2 3 1 1 1 4 4 3 4 2 4 2 2 2 3 2 3 3
## [34417] 3 4 3 3 4 3 1 3 2 3 3 1 1 2 2 4 3 1 2 3 3 1 3 2 4 3 3 2 1 4 3 1 2 1 3 2
## [34453] 1 3 2 1 2 3 2 2 2 1 3 4 3 2 2 3 3 3 1 2 1 3 1 2 3 4 1 3 2 3 3 4 4 1 3 3
## [34489] 3 3 3 1 3 1 3 1 2 1 3 3 3 2 2 3 1 2 2 3 3 3 1 2 1 1 3 3 1 4 2 1 1 4 3 2
## [34525] 1 1 2 3 2 1 1 3 3 3 2 3 3 3 4 2 3 3 2 1 1 3 2 3 3 3 2 2 3 3 4 4 2 3 3 1
## [34561] 3 3 4 3 2 2 1 3 4 2 3 2 2 2 3 3 2 4 3 3 2 2 4 3 3 3 1 3 3 3 3 3 3 1 3 1
## [34597] 3 3 3 4 1 2 2 2 2 2 3 1 3 2 2 3 1 4 3 2 2 1 2 2 3 2 3 1 2 4 2 4 2 4 2 3
## [34633] 3 2 3 3 4 2 2 3 2 1 1 4 1 3 4 3 4 3 3 1 2 2 3 2 3 4 1 3 3 3 2 1 3 1 2 2
## [34669] 3 2 1 3 4 1 1 2 2 1 4 1 2 1 3 3 3 4 1 3 2 1 1 3 2 1 1 2 3 3 3 1 3 3 4 3
## [34705] 3 2 3 3 4 4 4 2 3 3 3 3 3 1 3 1 4 3 2 3 2 4 3 2 3 3 1 1 4 2 3 1 4 3 2 3
## [34741] 2 2 1 3 1 3 3 3 3 3 4 1 2 2 1 3 3 3 1 4 2 1 3 3 1 2 1 1 3 3 2 3 1 3 3 2
## [34777] 2 1 3 3 3 1 1 3 1 2 3 1 3 1 1 4 2 4 2 2 1 2 3 3 1 3 2 2 1 2 1 3 3 1 3 3
## [34813] 3 1 3 1 2 4 3 4 3 1 3 3 1 2 1 3 3 1 4 4 3 2 1 4 3 3 4 4 3 1 3 1 1 1 2 1
## [34849] 1 3 2 2 2 3 2 3 2 2 3 2 3 1 2 2 2 1 3 3 1 1 3 2 3 3 2 1 4 1 2 3 1 3 3 1
## [34885] 3 3 3 2 3 3 1 3 2 1 1 3 4 4 3 3 4 3 1 3 1 1 1 2 2 3 4 2 1 4 4 1 1 3 3 1
## [34921] 2 3 2 3 3 1 3 3 2 3 2 4 1 3 2 3 3 2 3 3 2 1 3 3 1 2 2 3 2 2 3 4 2 3 2 4
## [34957] 3 3 3 2 4 3 3 3 3 3 4 2 2 3 3 3 1 2 2 4 4 1 2 1 1 2 2 2 2 2 1 3 1 3 1 1
## [34993] 1 3 1 2 3 4 3 4 3 4 3 3 1 4 3 1 1 1 3 1 2 2 2 3 2 2 3 2 4 3 1 3 4 1 3 2
## [35029] 2 4 2 2 2 1 2 2 3 2 3 3 3 3 3 2 3 3 2 2 4 3 3 1 4 4 1 4 3 4 1 3 3 2 3 3
## [35065] 4 2 1 1 1 3 3 2 3 3 2 1 1 2 2 4 4 3 2 3 3 1 1 1 4 3 1 3 3 3 2 2 4 1 3 3
## [35101] 2 1 2 1 3 1 3 3 3 3 4 4 1 4 1 3 3 4 3 2 1 3 2 4 3 3 3 2 3 3 1 4 1 1 2 3
## [35137] 1 1 2 2 3 3 4 1 3 1 1 2 3 3 1 3 1 3 4 3 1 2 1 1 1 1 1 1 1 3 4 3 3 2 3 4
## [35173] 3 2 4 3 1 3 3 1 3 2 3 1 1 2 2 3 3 4 4 4 1 1 3 2 4 1 2 1 3 3 2 2 2 1 2 3
## [35209] 3 3 3 3 2 3 3 3 4 2 1 2 4 2 2 4 2 4 3 2 1 2 1 3 2 2 2 1 1 3 4 3 4 3 3 2
## [35245] 1 3 3 3 3 4 4 1 3 1 2 4 2 3 1 3 3 3 3 3 3 4 1 4 2 3 2 2 1 1 2 3 3 4 4 3
## [35281] 3 1 1 1 3 1 3 1 1 3 3 2 3 2 3 1 3 1 3 1 3 3 2 3 3 1 1 1 1 2 3 2 1 1 2 4
## [35317] 3 3 1 2 2 1 3 3 3 2 3 3 2 2 2 1 3 3 3 4 3 4 1 2 1 3 1 3 1 2 3 3 1 2 3 3
## [35353] 2 2 4 2 3 2 3 3 2 3 3 4 4 4 2 1 2 2 4 3 4 2 3 3 1 3 3 1 3 3 1 1 2 2 2 3
## [35389] 1 1 1 1 4 3 2 3 4 2 3 3 1 2 3 3 2 2 1 3 2 3 1 3 4 2 1 4 4 3 4 3 3 2 2 4
## [35425] 4 2 4 3 3 1 3 3 4 1 2 3 3 1 1 1 4 4 2 1 1 3 3 4 3 3 3 4 3 2 1 4 2 2 2 3
## [35461] 3 3 4 1 2 3 3 3 4 3 4 3 3 1 1 2 3 3 3 1 3 1 4 2 1 1 3 1 3 2 2 4 2 2 3 4
## [35497] 2 1 3 3 1 3 3 1 2 4 1 2 1 4 3 1 2 2 3 1 3 3 3 1 3 1 2 3 1 1 1 4 3 3 4 2
## [35533] 4 1 4 3 3 3 3 3 4 3 3 1 1 3 1 2 1 3 3 3 4 2 1 4 3 1 3 2 3 3 2 1 2 3 2 1
## [35569] 3 1 1 3 3 3 2 1 3 3 3 2 4 3 3 4 2 1 3 3 1 3 4 1 3 3 2 1 3 3 4 2 3 3 2 2
## [35605] 1 3 3 3 4 3 2 2 3 3 1 3 3 2 4 4 4 1 3 1 1 2 3 3 1 1 2 3 3 3 2 1 3 1 3 2
## [35641] 2 3 1 3 3 4 2 4 1 1 1 3 1 3 4 3 1 3 3 2 1 1 1 3 3 2 3 3 3 1 1 2 3 3 3 3
## [35677] 4 3 2 1 1 1 3 3 3 3 3 2 4 3 4 2 3 2 1 3 4 1 2 3 2 3 4 2 1 2 3 2 4 3 3 3
## [35713] 2 3 1 1 2 4 3 3 3 1 3 1 1 2 2 2 3 3 4 3 1 3 3 3 3 3 3 2 2 3 1 2 1 1 4 3
## [35749] 1 3 1 3 2 2 3 1 3 2 2 2 2 3 4 1 1 2 3 4 1 1 3 4 1 1 2 3 4 3 1 1 2 3 3 1
## [35785] 3 3 3 1 4 3 1 1 4 2 1 4 4 2 3 4 4 1 2 4 1 4 3 4 1 3 2 2 3 4 1 2 2 1 1 2
## [35821] 2 3 1 3 2 1 3 3 3 2 2 3 3 1 3 4 2 1 3 2 3 2 1 2 4 4 3 3 3 4 2 3 3 2 2 3
## [35857] 3 1 4 1 3 1 3 3 3 4 3 1 2 2 4 3 3 2 4 3 3 1 4 4 3 1 2 1 3 1 2 2 2 3 3 3
## [35893] 2 4 4 1 1 2 4 2 3 2 4 2 3 1 2 3 1 3 3 3 2 3 3 4 3 1 4 4 1 3 3 3 3 1 3 3
## [35929] 1 3 1 4 2 1 3 4 2 2 3 1 3 4 3 3 1 4 1 2 2 1 1 4 2 3 3 3 3 1 1 1 1 1 1 4
## [35965] 3 1 3 4 1 4 2 4 1 3 1 2 1 3 1 2 2 3 3 1 3 3 3 1 3 1 2 3 2 1 4 3 1 3 1 3
## [36001] 1 4 3 1 2 3 1 2 1 4 4 3 3 1 3 2 1 2 3 3 3 2 3 4 1 2 3 1 1 3 2 2 4 2 3 3
## [36037] 2 2 3 2 4 3 1 2 1 1 3 4 2 3 1 2 3 1 3 4 4 2 4 2 3 1 2 2 1 1 4 1 3 1 3 1
## [36073] 4 1 2 3 3 3 4 2 3 2 1 3 1 4 4 1 1 2 3 4 1 3 1 3 2 1 4 1 2 3 2 3 3 4 1 3
## [36109] 2 3 1 1 3 4 1 1 2 3 3 1 4 1 1 2 3 2 3 2 2 4 1 3 3 2 3 4 2 3 2 4 2 3 2 4
## [36145] 3 2 1 4 3 2 3 2 2 4 3 2 4 1 2 3 1 2 1 1 2 4 3 1 4 3 2 3 4 1 3 2 3 4 2 2
## [36181] 3 2 1 3 4 1 3 2 3 2 2 2 1 2 3 3 1 3 3 2 2 1 3 3 1 2 2 3 1 3 2 2 3 3 2 3
## [36217] 2 4 1 1 1 2 2 2 1 1 3 1 3 3 1 3 3 4 2 1 3 2 4 2 3 3 3 3 4 1 2 3 3 3 3 2
## [36253] 3 3 2 2 3 2 4 1 2 1 3 2 3 3 2 3 3 4 3 2 3 2 1 3 3 1 3 3 1 4 3 2 2 1 4 2
## [36289] 3 3 3 3 1 3 1 3 2 3 2 3 3 2 2 3 3 1 3 2 1 3 3 2 2 2 1 3 1 1 3 3 4 1 4 3
## [36325] 2 3 3 3 3 3 3 1 3 2 2 3 3 3 3 2 3 2 3 3 2 1 2 2 3 1 1 2 2 3 3 3 3 2 1 3
## [36361] 3 3 2 1 1 1 2 4 3 2 3 1 4 1 2 3 3 4 2 1 3 2 3 4 3 4 3 1 1 3 2 4 2 2 3 2
## [36397] 2 4 2 3 3 1 3 3 1 2 3 3 2 3 3 3 2 1 1 3 3 1 1 2 4 3 4 2 3 2 3 3 3 3 3 1
## [36433] 2 3 2 3 2 2 1 2 3 1 4 4 2 3 3 3 1 1 3 2 3 3 2 3 3 2 3 4 3 2 1 3 1 3 4 1
## [36469] 1 1 2 1 3 1 3 2 1 3 2 2 2 3 1 4 3 1 1 1 1 4 1 3 3 2 3 3 3 4 1 3 3 3 2 3
## [36505] 1 3 4 3 1 4 4 1 1 3 2 3 1 4 1 3 2 3 2 1 2 3 4 4 2 1 3 1 3 3 2 4 1 2 1 4
## [36541] 4 1 3 1 3 1 2 1 1 2 4 2 3 1 3 3 1 1 3 2 3 4 1 3 3 3 3 1 1 1 3 3 3 2 4 1
## [36577] 1 2 3 4 2 3 1 1 3 1 2 3 3 1 3 1 2 3 2 2 1 1 3 3 2 3 3 1 1 2 2 1 1 3 4 3
## [36613] 2 3 2 2 3 1 3 3 1 1 3 1 3 2 4 2 2 2 3 2 3 2 3 1 3 1 1 1 3 4 3 3 3 3 3 3
## [36649] 2 3 1 2 2 2 1 4 2 2 3 3 4 4 3 2 3 4 3 1 2 2 2 3 3 2 3 4 4 1 1 2 1 2 4 3
## [36685] 3 3 2 1 4 2 3 2 1 3 3 3 2 3 3 3 4 3 3 3 3 2 3 3 2 1 3 3 1 3 4 2 4 1 3 2
## [36721] 1 3 3 3 3 2 2 2 2 4 2 3 1 1 4 1 2 2 3 4 2 3 3 2 1 1 1 2 4 3 1 1 3 3 3 4
## [36757] 3 3 2 3 1 3 1 2 3 3 2 1 4 2 3 1 1 4 3 3 2 3 2 3 3 3 2 1 1 3 1 3 2 1 3 1
## [36793] 2 3 3 3 2 3 3 3 2 3 2 1 4 2 1 2 1 2 1 3 4 3 1 1 2 3 3 1 3 2 2 3 3 2 3 3
## [36829] 3 2 3 3 1 1 1 3 3 1 1 1 3 1 4 3 2 4 4 2 1 3 3 4 1 1 1 3 3 4 2 1 3 2 2 2
## [36865] 3 3 4 3 3 3 4 1 2 1 3 2 1 3 2 2 3 3 2 3 2 3 3 2 3 3 1 1 2 3 4 3 1 3 3 2
## [36901] 2 3 3 2 3 3 2 3 1 3 4 1 2 3 1 3 4 1 2 4 3 1 3 3 3 4 2 1 1 4 2 3 3 3 1 3
## [36937] 1 3 2 4 4 3 2 1 4 3 1 3 2 4 1 4 3 4 2 4 2 3 2 4 4 4 4 4 1 1 3 1 3 4 3 2
## [36973] 3 1 4 1 4 3 2 2 4 3 4 1 1 1 2 3 4 2 1 2 3 4 3 3 2 1 4 3 2 3 4 2 1 4 3 3
## [37009] 3 3 2 3 1 3 2 3 4 2 3 1 4 1 3 3 3 4 3 3 3 2 1 1 3 3 4 2 4 4 1 1 3 3 4 1
## [37045] 3 2 1 4 4 3 3 1 2 3 2 1 3 2 3 4 2 3 4 1 2 1 3 2 3 3 2 3 1 2 2 2 2 3 1 3
## [37081] 2 3 1 3 2 3 2 2 1 2 2 3 1 2 3 3 4 3 3 4 2 3 1 1 3 3 1 2 2 1 3 1 3 2 3 2
## [37117] 1 3 3 3 2 1 3 2 4 4 1 1 1 4 1 2 2 4 3 1 3 1 3 3 3 3 3 4 3 1 3 3 3 2 3 2
## [37153] 4 4 4 1 3 4 1 2 3 1 3 1 3 1 4 4 3 3 3 3 2 4 4 1 1 3 2 4 4 2 3 1 3 1 3 3
## [37189] 3 4 3 3 3 3 4 2 1 3 4 2 3 1 1 1 3 4 3 4 3 2 1 3 4 1 3 3 2 3 3 4 2 2 3 3
## [37225] 2 1 1 3 3 2 2 2 1 3 3 3 1 3 3 1 3 3 3 2 4 2 3 4 2 1 2 2 1 3 1 2 3 1 2 3
## [37261] 2 3 3 3 1 2 4 2 3 4 2 3 2 1 4 4 3 3 1 2 2 2 2 2 1 2 1 4 2 3 3 2 3 3 1 3
## [37297] 3 3 2 3 4 1 2 1 1 3 2 3 2 4 1 1 2 2 3 2 1 3 3 2 3 1 3 3 3 1 3 1 3 3 1 4
## [37333] 4 4 3 3 2 3 4 2 3 2 3 1 2 3 1 1 2 2 3 1 3 3 3 3 3 2 1 4 3 4 1 3 4 3 2 1
## [37369] 3 3 4 4 1 3 3 2 3 2 1 2 3 1 2 3 3 3 1 3 2 3 1 3 4 4 3 1 1 3 2 4 3 4 1 2
## [37405] 1 2 3 3 2 3 1 4 2 2 2 2 1 4 2 3 2 2 2 3 4 1 3 2 4 1 3 3 2 3 3 4 3 3 4 4
## [37441] 3 3 2 2 3 3 4 1 3 3 4 1 3 1 2 1 1 1 1 3 1 2 3 2 3 1 2 1 2 3 4 3 1 4 3 3
## [37477] 3 2 3 2 1 4 3 1 3 2 2 3 4 2 3 3 4 1 2 4 2 1 2 3 1 4 1 1 3 3 1 3 1 1 3 2
## [37513] 1 1 1 4 2 1 4 3 3 1 2 2 3 2 1 3 1 3 3 2 1 3 2 2 1 2 3 1 3 3 3 3 2 3 3 2
## [37549] 2 3 3 4 1 2 3 1 2 2 1 4 3 1 2 2 1 2 2 2 2 4 3 1 3 2 4 2 3 3 1 3 2 3 4 2
## [37585] 2 4 4 2 3 3 4 1 3 3 2 4 4 2 2 4 3 1 3 2 1 3 1 2 3 4 2 1 2 4 3 3 4 3 4 3
## [37621] 3 1 2 3 1 4 4 4 3 1 3 3 1 3 2 3 3 3 3 2 1 3 3 2 2 1 3 1 4 3 4 3 1 3 3 3
## [37657] 3 1 4 3 1 2 1 3 1 3 3 1 1 3 3 2 4 3 1 2 3 1 3 2 4 2 3 3 2 3 4 3 2 1 4 3
## [37693] 1 2 3 3 2 2 3 3 1 3 4 2 1 4 4 3 3 1 3 2 4 4 3 1 1 4 3 1 1 1 1 1 3 3 3 2
## [37729] 2 4 4 2 3 2 1 2 1 3 3 3 1 1 4 2 3 1 1 1 3 3 2 4 1 4 1 3 3 3 3 1 4 1 2 3
## [37765] 3 3 1 2 1 3 3 4 2 3 2 1 3 2 3 3 2 2 2 2 3 2 3 1 2 3 2 2 4 3 3 3 3 1 2 3
## [37801] 1 3 2 2 3 3 3 1 4 2 2 2 2 3 3 4 3 4 2 1 2 3 1 3 2 2 3 1 2 3 1 2 2 2 3 4
## [37837] 2 2 2 3 3 1 3 3 2 3 2 4 4 1 3 3 3 3 4 2 4 3 1 3 1 3 4 2 3 1 4 3 3 3 4 1
## [37873] 3 4 1 2 3 1 4 3 3 3 3 4 4 1 4 2 3 4 1 4 3 2 3 3 2 2 2 2 1 2 1 2 4 3 3 4
## [37909] 1 3 1 4 4 1 1 1 3 3 3 2 3 3 3 1 3 1 1 1 2 4 3 2 3 3 3 1 2 1 2 2 1 3 1 3
## [37945] 3 4 4 2 2 1 3 4 3 3 4 1 2 3 3 2 2 2 3 3 3 3 4 2 3 4 1 4 3 3 1 2 1 4 2 4
## [37981] 2 2 4 1 2 1 2 4 3 1 2 2 1 4 1 1 4 3 3 2 3 2 2 3 3 2 3 3 3 2 3 2 1 3 2 2
## [38017] 1 2 3 1 3 3 1 2 1 1 1 1 3 2 4 4 2 3 3 1 4 2 2 3 2 2 3 4 2 4 2 4 2 3 1 1
## [38053] 3 1 2 2 4 2 3 1 2 1 1 3 3 3 2 1 2 2 2 3 2 3 2 2 3 2 1 1 3 3 3 4 3 1 1 2
## [38089] 3 3 1 1 3 3 2 3 1 2 4 3 4 3 2 2 4 4 3 3 2 2 1 2 1 2 2 1 3 3 2 3 3 1 3 3
## [38125] 2 1 2 4 3 1 3 1 4 2 2 3 1 3 2 4 3 3 4 1 3 1 3 4 1 2 2 4 1 2 1 3 4 3 1 4
## [38161] 3 2 4 2 1 3 1 2 4 1 3 1 3 1 2 1 3 3 2 3 2 2 3 2 1 3 3 3 3 1 4 2 3 2 1 2
## [38197] 2 1 3 3 4 4 3 3 3 4 2 3 3 3 3 3 3 1 1 2 2 1 3 3 3 2 3 3 3 3 2 3 1 1 2 4
## [38233] 2 3 1 1 3 2 3 1 2 1 1 2 2 3 2 3 3 2 2 4 2 1 4 1 3 3 4 1 2 3 4 3 2 2 3 3
## [38269] 3 1 4 2 3 2 3 2 3 3 1 3 1 3 3 3 2 4 1 4 3 3 2 4 1 1 2 3 1 2 1 3 3 4 2 2
## [38305] 4 2 3 3 3 3 4 1 1 4 3 1 3 1 4 1 3 3 3 3 3 4 3 3 4 2 3 4 3 2 3 2 3 1 1 2
## [38341] 2 2 4 3 1 3 1 3 3 2 3 3 2 1 3 4 1 2 2 2 1 3 4 1 3 2 1 4 4 1 3 2 2 3 3 1
## [38377] 3 3 2 3 3 1 2 3 2 3 1 2 4 1 1 1 3 2 2 1 2 4 3 1 1 2 1 1 3 1 2 4 3 3 3 2
## [38413] 2 1 2 2 1 2 2 1 2 1 2 4 4 4 3 3 3 3 2 1 2 1 2 3 1 1 3 1 2 3 3 2 2 3 3 1
## [38449] 2 4 1 1 3 1 3 3 1 3 3 2 4 3 1 2 4 3 2 2 1 2 3 2 2 3 3 3 3 1 3 4 3 2 3 4
## [38485] 2 3 4 1 1 3 2 3 2 2 4 2 1 4 2 1 3 3 1 2 3 4 4 1 4 2 4 2 3 1 2 3 2 4 3 2
## [38521] 3 3 3 3 2 1 1 1 3 1 4 2 2 3 3 3 2 1 3 1 3 4 3 1 3 2 2 3 1 2 2 3 1 1 3 2
## [38557] 1 3 1 1 3 3 2 1 3 3 1 3 1 3 1 2 1 3 1 3 2 3 3 2 2 1 3 2 2 3 4 2 3 3 1 4
## [38593] 3 1 2 3 3 1 1 3 2 3 1 2 1 2 3 4 1 4 3 4 3 3 4 2 1 1 1 1 1 2 4 3 2 3 1 2
## [38629] 4 1 3 3 1 3 1 2 4 3 4 1 3 3 2 1 3 2 2 3 3 1 4 3 3 3 2 1 4 2 3 1 3 3 3 1
## [38665] 2 2 3 2 3 1 3 2 3 2 2 1 2 3 3 3 3 3 1 1 3 2 3 3 3 3 3 3 1 1 4 3 3 4 3 3
## [38701] 2 3 1 2 3 4 3 4 3 1 2 4 1 3 3 2 2 3 1 3 2 1 3 2 3 3 3 4 2 3 1 1 1 3 1 1
## [38737] 1 4 3 4 1 1 2 3 1 2 3 2 3 3 3 3 1 3 2 2 1 1 2 3 2 2 4 4 4 3 1 3 2 3 1 2
## [38773] 1 4 3 3 1 2 3 1 4 3 3 2 4 3 3 3 1 2 1 1 2 1 1 2 2 4 3 2 2 2 2 3 4 3 4 3
## [38809] 2 1 1 1 1 4 3 2 2 2 3 3 4 3 1 4 2 2 3 4 2 3 3 3 3 1 1 3 2 3 2 3 2 1 1 3
## [38845] 2 3 3 2 1 3 2 3 3 4 1 4 1 3 3 3 1 3 1 2 3 3 1 3 1 2 4 1 2 4 1 4 3 1 2 1
## [38881] 3 3 4 2 4 4 1 3 3 3 1 2 3 3 3 3 3 3 3 2 3 2 3 4 3 3 1 2 3 1 1 1 1 4 2 2
## [38917] 4 3 2 1 2 1 2 1 4 3 3 3 1 1 1 3 2 3 4 3 1 3 2 3 3 4 2 1 2 4 3 1 2 3 2 3
## [38953] 3 1 2 4 2 1 4 3 3 2 3 3 1 3 3 1 3 3 1 2 3 3 1 4 3 2 2 1 2 3 2 2 2 3 1 1
## [38989] 3 3 1 1 2 3 4 4 1 3 2 2 2 3 2 3 3 4 2 1 1 1 3 2 3 4 1 2 4 2 3 2 1 3 2 3
## [39025] 3 2 2 1 4 3 3 2 1 4 2 3 4 4 1 1 2 1 3 2 3 2 3 2 4 3 2 3 4 2 3 3 4 1 2 1
## [39061] 3 4 1 2 3 1 1 2 1 2 3 1 3 2 1 1 3 1 1 3 3 3 3 1 4 3 2 1 4 1 3 1 3 2 3 3
## [39097] 3 2 2 1 4 1 1 3 3 4 3 2 2 4 3 1 2 2 3 1 1 1 3 1 3 2 4 2 4 1 3 3 3 1 2 1
## [39133] 1 3 1 1 4 2 1 3 2 4 2 3 4 3 2 3 3 3 3 2 4 3 1 4 1 3 3 2 2 4 3 1 4 1 1 1
## [39169] 4 3 2 4 1 3 1 2 3 1 3 1 3 3 3 3 3 3 1 1 3 2 2 2 3 2 2 3 1 1 2 3 3 1 3 4
## [39205] 2 3 1 2 3 1 3 1 1 2 3 2 3 3 3 3 2 2 3 4 3 3 2 4 1 3 4 3 3 2 3 3 3 3 2 1
## [39241] 4 3 3 3 1 3 1 3 3 3 3 4 3 2 4 2 3 1 2 2 1 4 2 3 2 1 4 3 4 2 3 3 1 2 2 3
## [39277] 4 2 1 3 4 3 1 3 4 3 3 3 4 3 3 1 3 2 3 4 4 1 3 3 1 4 2 3 2 3 2 2 2 2 4 1
## [39313] 3 4 3 3 3 2 3 2 1 4 3 3 1 3 4 3 3 2 1 2 3 1 2 1 3 1 4 2 3 2 1 3 4 4 3 1
## [39349] 4 3 1 3 3 3 3 3 3 1 2 2 3 4 1 1 2 3 4 3 3 2 1 3 2 2 2 1 3 3 1 4 3 1 1 3
## [39385] 3 2 1 1 1 2 2 4 3 3 3 3 1 2 2 3 2 4 1 1 2 3 3 1 3 4 3 1 4 1 3 3 2 2 3 3
## [39421] 3 3 3 1 2 1 3 1 2 4 3 1 2 3 2 1 3 3 1 1 2 3 3 3 3 1 1 3 2 4 3 1 3 2 2 2
## [39457] 3 1 3 2 2 2 2 1 1 1 3 3 1 3 2 2 2 4 3 1 3 2 4 2 3 1 1 1 3 1 1 3 3 1 1 3
## [39493] 2 3 1 1 2 3 1 1 2 3 2 2 3 2 3 3 3 1 2 3 1 1 1 2 4 2 3 2 4 1 4 1 2 3 2 3
## [39529] 2 3 1 2 2 3 1 3 2 1 3 1 3 2 3 1 3 2 2 2 1 2 2 3 3 1 2 1 1 3 3 3 2 2 4 4
## [39565] 3 3 4 3 2 3 1 2 2 2 4 1 3 3 1 2 3 3 1 2 3 1 4 2 2 1 1 1 3 1 1 1 2 3 3 3
## [39601] 4 3 2 1 1 3 2 3 4 2 1 1 4 3 1 4 4 3 3 3 1 3 3 4 2 2 3 4 3 1 3 2 1 3 3 4
## [39637] 3 1 2 2 1 3 1 4 2 3 2 3 1 2 4 3 3 3 3 2 2 3 2 1 2 1 1 2 2 2 4 1 1 1 2 1
## [39673] 2 3 3 2 1 2 1 3 4 3 2 4 3 2 3 3 3 1 3 3 3 2 3 4 2 1 1 1 4 1 2 2 2 2 3 1
## [39709] 2 2 4 2 2 2 1 1 2 1 3 4 3 2 4 2 3 1 3 1 4 4 2 3 4 1 4 3 1 1 2 1 1 2 3 3
## [39745] 4 2 1 3 3 3 3 1 3 4 4 3 3 3 2 4 1 1 1 1 3 3 2 2 4 3 2 1 1 3 1 3 4 1 2 3
## [39781] 3 3 3 2 3 1 2 2 2 2 1 3 3 2 1 1 3 3 2 4 4 2 3 2 1 3 3 1 3 4 2 3 4 2 1 2
## [39817] 4 3 1 3 3 2 1 1 3 2 3 3 4 1 1 2 1 2 2 1 4 3 3 3 3 3 1 2 2 3 2 1 3 2 1 2
## [39853] 4 1 1 2 3 3 2 4 3 3 3 1 3 1 3 3 4 1 4 3 2 2 1 1 3 2 2 3 2 2 3 3 3 2 1 3
## [39889] 3 3 4 4 3 4 2 3 3 4 3 4 4 3 3 1 1 1 4 2 2 3 2 1 3 4 2 2 3 3 2 4 1 3 2 2
## [39925] 1 2 3 3 3 1 3 3 3 1 2 2 1 1 3 4 2 3 2 2 4 3 1 2 1 2 2 1 1 1 3 3 2 3 2 4
## [39961] 1 3 4 4 3 2 2 3 1 3 4 2 3 1 1 2 3 1 1 1 1 1 1 3 4 2 1 3 2 2 3 2 3 4 2 3
## [39997] 2 4 3 3 3 1 2 3 1 1 3 3 2 3 4 3 2 1 2 1 2 4 3 1 2 1 2 3 2 1 4 3 3 4 2 3
## [40033] 3 2 1 4 2 2 3 3 4 3 2 2 2 1 1 1 1 3 4 3 3 1 2 1 4 1 1 3 1 3 3 1 3 1 3 3
## [40069] 3 2 1 3 2 3 3 1 3 1 3 4 3 3 2 2 4 3 3 2 1 3 4 3 3 1 2 3 2 1 3 1 4 3 1 3
## [40105] 2 2 3 3 3 2 1 2 3 2 1 4 3 1 3 3 4 3 1 4 3 2 1 1 1 4 1 2 2 3 2 2 4 3 1 2
## [40141] 3 1 1 1 3 3 3 3 3 4 1 3 1 3 2 2 3 3 1 2 4 3 1 2 1 3 3 4 2 1 3 2 3 3 3 2
## [40177] 3 1 4 3 3 1 4 2 2 1 2 2 1 1 2 1 3 3 3 2 2 3 3 2 2 1 1 2 3 2 2 2 3 1 1 3
## [40213] 4 2 1 3 3 4 1 3 2 2 3 1 3 4 1 2 4 2 1 2 3 3 1 2 3 3 3 1 1 2 3 2 2 2 3 3
## [40249] 2 3 1 2 3 2 3 3 3 2 3 2 3 1 1 1 1 2 3 4 1 2 3 1 3 1 3 2 3 2 1 3 3 2 3 4
## [40285] 3 3 2 2 2 1 3 2 3 2 2 3 3 2 3 1 1 2 3 3 1 2 2 1 3 1 3 2 4 1 2 3 3 1 4 3
## [40321] 1 1 3 3 1 2 3 2 3 1 1 3 1 3 3 2 1 2 1 2 3 4 3 3 4 3 3 2 3 2 3 3 1 4 3 3
## [40357] 4 3 3 3 1 3 2 3 3 2 4 1 3 1 3 4 4 4 3 4 2 4 2 1 2 1 3 3 4 3 3 4 2 3 3 1
## [40393] 2 3 3 1 2 3 1 3 3 2 2 2 2 2 2 3 3 1 3 3 1 4 2 4 1 3 2 3 4 1 4 1 1 1 3 4
## [40429] 1 1 3 2 3 1 1 1 3 4 2 1 2 3 2 3 2 2 3 3 3 3 1 2 4 2 1 2 4 2 1 2 1 1 3 1
## [40465] 2 3 1 2 1 3 3 1 1 3 1 1 3 1 1 4 3 3 3 2 1 1 2 3 2 3 1 4 1 1 1 2 2 1 3 3
## [40501] 3 3 1 4 4 3 3 4 3 1 4 4 1 2 1 2 1 3 3 3 1 4 2 2 3 2 3 2 4 2 3 3 4 1 2 4
## [40537] 3 2 3 1 1 1 2 1 3 1 2 3 2 1 4 2 1 3 3 3 3 4 1 2 1 2 3 4 2 4 3 2 2 3 1 1
## [40573] 1 3 3 4 4 2 2 3 2 2 3 3 1 3 2 1 2 1 1 2 3 4 3 3 1 1 2 1 3 4 3 2 3 2 1 1
## [40609] 2 3 2 2 3 1 3 1 3 3 3 2 4 3 3 3 1 2 1 3 3 1 3 1 1 3 3 2 1 3 2 2 3 3 1 2
## [40645] 3 3 1 3 2 3 3 3 4 2 3 1 3 1 1 3 2 1 2 2 2 1 2 3 1 3 3 4 1 1 3 3 1 2 2 2
## [40681] 1 2 2 4 2 1 3 3 1 1 3 2 3 3 3 3 3 1 2 3 4 3 2 3 3 3 2 1 1 1 4 4 2 3 4 2
## [40717] 2 3 2 1 3 2 4 2 3 3 3 2 1 1 2 4 2 4 2 3 1 1 3 3 3 3 2 3 4 2 2 2 1 1 3 2
## [40753] 1 3 1 1 3 3 1 1 3 2 1 3 2 1 1 3 1 2 2 2 4 2 1 3 1 3 2 2 3 3 4 3 4 1 1 1
## [40789] 2 3 1 2 3 2 2 4 3 1 3 2 2 4 1 4 4 2 4 3 1 1 3 1 1 2 3 3 1 4 4 3 4 2 1 3
## [40825] 1 3 3 1 2 1 2 1 1 4 2 4 2 2 4 3 1 1 3 3 3 4 2 3 2 1 1 1 3 3 4 3 4 1 4 2
## [40861] 3 2 3 1 1 1 2 1 3 1 4 3 1 3 1 3 2 1 1 3 1 3 3 3 2 2 3 1 3 4 2 3 1 1 2 1
## [40897] 2 1 1 3 4 1 3 3 3 2 1 2 2 3 2 2 3 3 3 2 3 1 4 3 1 1 4 3 2 3 1 2 2 2 3 2
## [40933] 1 4 3 1 4 3 3 3 1 2 3 1 2 3 1 3 2 3 2 1 3 3 3 3 3 2 2 4 3 1 1 3 2 2 1 3
## [40969] 1 1 3 3 1 1 3 3 1 3 3 3 3 2 3 3 1 3 3 3 4 2 3 4 3 4 1 4 3 3 2 3 3 2 4 2
## [41005] 1 3 3 2 2 3 1 4 4 1 1 4 1 2 2 1 2 2 4 2 4 3 2 3 3 3 4 1 3 1 1 2 2 3 1 3
## [41041] 1 3 4 2 3 1 1 3 1 1 2 2 3 4 3 3 1 2 3 1 3 4 2 2 3 3 3 3 1 3 2 1 3 1 4 1
## [41077] 1 1 2 3 1 2 2 1 2 3 4 2 2 2 2 1 4 4 4 3 3 2 3 1 3 2 1 2 3 3 3 3 3 2 1 3
## [41113] 2 3 4 3 1 4 1 3 2 2 3 3 3 3 4 3 2 1 1 3 2 2 1 1 2 3 3 3 3 3 3 1 3 2 3 3
## [41149] 3 3 3 2 2 3 1 2 2 1 3 2 3 1 2 3 3 3 3 3 2 1 3 2 4 3 2 3 4 2 3 3 2 3 2 3
## [41185] 2 4 1 3 4 2 3 3 3 1 1 2 3 3 2 3 3 3 1 1 1 2 2 1 1 2 3 1 1 3 1 3 4 3 2 3
## [41221] 3 2 1 2 2 3 3 2 1 2 2 2 3 1 2 3 1 3 2 2 1 3 3 4 3 1 2 2 1 1 2 2 4 3 3 2
## [41257] 4 2 3 3 3 1 4 1 2 1 2 1 2 2 2 2 1 3 4 4 3 3 2 3 1 2 1 3 3 1 2 1 4 4 3 3
## [41293] 4 3 4 2 1 3 2 1 3 1 1 4 3 3 1 1 2 3 1 2 1 3 3 2 1 3 3 3 4 3 2 3 1 3 3 3
## [41329] 1 1 1 3 3 3 3 2 3 4 3 3 2 3 2 2 1 3 2 1 3 4 3 3 3 2 3 4 2 4 3 1 1 3 3 4
## [41365] 1 3 1 2 1 3 4 3 3 3 3 3 2 1 2 1 3 2 2 2 1 4 3 4 1 3 2 1 3 3 1 4 2 2 1 2
## [41401] 1 2 2 3 3 3 4 1 2 3 3 1 3 4 3 1 1 1 4 4 3 1 2 3 3 2 4 1 3 4 3 2 3 3 3 3
## [41437] 4 3 3 2 3 1 3 3 3 1 1 3 4 2 3 1 1 2 1 3 3 1 3 3 3 3 4 3 1 4 3 3 1 3 1 3
## [41473] 3 2 4 3 1 4 1 2 2 3 3 3 2 1 1 4 3 3 3 4 2 3 2 1 2 3 2 3 4 3 3 2 2 3 2 2
## [41509] 1 2 1 2 2 4 1 3 3 1 1 3 3 3 3 3 1 3 1 2 3 2 4 2 2 3 3 4 3 4 2 2 3 2 2 4
## [41545] 1 2 2 2 4 2 3 2 2 2 3 3 2 4 1 3 3 1 4 3 3 1 2 2 3 1 1 3 2 3 3 3 3 3 1 1
## [41581] 2 3 3 3 3 3 2 3 1 1 2 2 2 3 1 1 1 4 3 2 1 1 1 1 1 2 2 1 2 3 3 1 1 1 4 3
## [41617] 2 2 3 2 1 1 1 3 3 3 2 1 4 3 3 3 3 2 1 2 3 1 2 1 3 3 3 1 1 2 2 3 1 3 3 2
## [41653] 3 3 3 3 1 4 3 4 4 4 2 2 1 3 1 1 4 2 4 4 2 3 1 3 2 3 1 1 3 4 3 3 3 3 3 2
## [41689] 3 1 4 2 1 2 3 3 2 3 3 2 2 1 1 3 4 4 3 4 3 3 1 3 4 3 3 3 1 4 2 3 1 1 2 1
## [41725] 2 1 2 3 3 4 3 3 3 1 3 1 3 2 3 1 2 1 3 2 2 2 3 2 4 2 3 4 3 3 2 2 3 3 3 4
## [41761] 3 3 2 2 3 3 3 1 4 3 2 1 1 1 1 2 3 1 3 1 1 1 3 2 4 1 2 2 3 2 3 1 3 2 4 3
## [41797] 3 3 1 1 1 3 3 1 3 2 3 2 2 1 2 3 3 3 4 2 2 2 4 4 3 1 3 1 3 3 2 2 2 1 3 3
## [41833] 3 2 3 1 2 3 1 3 4 3 1 2 2 4 4 2 2 3 1 3 3 1 4 3 1 3 2 4 3 3 2 3 2 1 1 2
## [41869] 3 2 1 4 2 3 2 4 1 3 1 2 3 2 3 2 3 1 1 3 3 2 2 3 2 1 2 3 2 4 3 2 3 3 3 3
## [41905] 3 2 4 3 2 1 3 1 1 1 3 3 3 3 1 3 1 2 2 2 1 2 4 2 3 1 1 3 2 3 1 1 1 3 4 4
## [41941] 1 1 1 3 3 2 3 2 4 2 2 3 3 2 3 3 1 3 4 2 2 1 1 4 4 3 1 3 2 2 3 1 3 3 3 1
## [41977] 2 1 3 3 3 3 3 3 3 3 1 2 3 2 3 3 4 4 3 3 1 2 1 4 2 4 3 1 2 4 3 3 4 2 4 3
## [42013] 3 2 3 1 1 4 2 3 3 1 4 3 3 2 3 3 3 2 1 2 1 3 3 1 3 2 4 1 4 3 3 4 4 3 4 3
## [42049] 3 1 2 3 3 1 4 3 4 1 3 3 2 3 2 1 2 2 2 2 1 3 3 3 1 4 3 2 2 3 1 3 3 2 1 4
## [42085] 2 3 2 2 2 3 3 3 3 1 3 1 2 3 3 1 1 3 1 3 2 4 2 2 2 3 3 2 2 3 2 2 1 2 3 2
## [42121] 3 3 1 4 3 1 3 2 3 2 4 4 3 2 3 2 2 1 4 2 2 1 1 3 1 1 2 1 3 3 3 3 3 3 3 3
## [42157] 1 2 1 2 3 4 2 4 2 3 2 3 2 1 1 2 2 1 3 3 1 3 4 3 4 3 1 2 2 2 4 3 2 1 3 2
## [42193] 3 3 4 1 1 3 3 2 1 1 4 3 2 2 3 3 3 4 3 1 2 4 4 3 1 3 1 2 1 3 3 3 4 2 3 3
## [42229] 2 2 2 4 2 2 4 4 3 1 4 1 1 2 1 1 4 4 2 1 1 2 1 4 2 2 2 1 2 2 2 2 2 4 2 1
## [42265] 3 3 1 4 2 3 3 1 3 3 2 2 2 1 3 3 2 4 3 4 2 2 3 3 1 2 3 4 3 1 1 3 2 4 3 1
## [42301] 3 1 4 3 4 1 2 3 3 2 3 2 3 4 3 3 3 3 3 3 3 3 2 3 2 2 4 2 2 2 1 3 3 2 3 1
## [42337] 2 1 1 1 4 1 3 1 1 1 1 1 2 2 4 2 3 1 2 4 1 4 1 1 2 3 1 2 3 3 2 1 1 3 3 3
## [42373] 4 1 1 4 2 3 4 1 2 2 4 3 2 2 2 2 2 4 1 4 2 3 3 1 2 2 1 3 3 3 1 3 4 1 3 4
## [42409] 2 1 2 1 4 1 3 1 2 3 1 3 2 2 2 2 3 1 1 2 3 2 1 1 3 3 1 3 4 1 3 4 1 3 4 3
## [42445] 1 1 3 4 1 2 2 1 4 2 2 3 4 3 2 2 1 1 3 1 3 3 1 3 1 3 3 2 2 4 2 4 1 3 1 3
## [42481] 3 3 2 4 3 2 3 2 3 2 1 1 4 4 2 3 4 1 3 2 4 3 2 4 3 1 1 2 2 3 3 1 4 2 1 4
## [42517] 2 2 4 3 4 1 4 1 1 3 2 3 2 3 3 2 3 3 3 3 1 3 3 1 3 1 3 1 2 2 1 3 1 4 4 1
## [42553] 3 3 3 1 2 3 1 2 3 3 3 3 2 3 1 4 3 2 4 3 3 1 1 1 2 3 4 1 3 3 2 2 2 3 4 3
## [42589] 2 2 2 2 4 3 2 3 4 1 3 4 2 4 2 2 1 3 4 2 1 3 1 3 4 1 2 3 4 4 3 3 2 3 2 3
## [42625] 2 4 4 2 4 2 3 1 1 3 1 2 1 1 1 1 3 1 2 3 4 2 1 3 3 3 3 1 2 2 2 1 4 3 1 3
## [42661] 1 1 3 3 1 3 1 2 2 4 4 1 2 3 1 1 3 3 4 3 2 2 2 1 2 2 2 2 3 3 2 4 4 3 2 3
## [42697] 1 1 3 2 1 3 2 4 3 2 4 4 2 1 2 2 1 1 1 3 1 3 1 2 1 1 3 3 2 3 1 1 3 2 2 3
## [42733] 3 3 2 3 4 1 3 1 3 3 4 1 1 1 3 4 3 2 2 3 2 3 4 3 4 3 1 4 3 1 3 1 1 3 3 4
## [42769] 2 2 1 1 2 3 4 1 3 2 3 3 1 2 3 4 3 2 3 3 1 4 3 4 1 1 2 4 3 3 3 1 3 3 1 2
## [42805] 3 3 3 1 1 1 3 2 2 3 3 1 3 2 3 3 3 2 1 1 2 3 2 3 3 1 4 3 4 2 4 4 2 3 3 3
## [42841] 2 3 1 1 4 2 2 1 2 3 3 2 3 1 3 3 2 3 3 2 3 1 3 1 2 3 1 3 2 3 3 2 4 1 3 2
## [42877] 1 2 3 4 2 2 3 2 3 2 3 2 2 2 3 2 2 4 3 2 4 4 2 3 1 3 1 1 2 1 2 1 2 1 2 1
## [42913] 2 2 1 1 3 4 3 3 1 3 2 3 2 3 3 2 4 3 1 2 4 3 2 3 4 2 3 3 3 4 1 1 1 1 1 3
## [42949] 4 1 2 1 4 3 1 2 1 3 3 3 1 3 1 2 1 3 3 1 1 2 3 1 2 2 4 4 2 2 1 1 2 4 3 3
## [42985] 3 1 2 3 1 2 4 3 3 3 3 3 4 3 4 1 3 2 3 2 2 2 1 3 2 2 3 2 1 2 1 2 4 2 4 3
## [43021] 3 1 1 1 3 1 3 2 4 3 2 3 2 3 1 3 3 2 2 1 3 3 3 3 4 3 2 4 2 3 1 1 3 1 2 2
## [43057] 3 1 4 1 2 3 4 3 3 1 2 1 4 3 3 2 3 2 4 4 3 2 2 3 3 3 2 3 3 1 1 1 3 3 2 4
## [43093] 2 4 3 2 3 1 3 4 4 4 1 3 1 1 2 3 3 1 3 4 3 2 1 2 1 3 1 3 3 4 4 3 1 1 2 3
## [43129] 3 3 1 1 3 2 2 2 3 4 3 2 3 2 3 1 2 2 1 4 3 3 1 3 2 1 3 3 3 3 3 3 3 3 1 3
## [43165] 2 2 3 3 4 3 3 3 3 3 3 2 3 2 2 3 2 2 3 2 3 2 3 1 1 2 3 1 3 2 3 1 1 3 4 1
## [43201] 2 1 2 1 3 2 3 1 4 3 3 2 1 3 1 3 3 3 2 1 1 4 3 3 1 2 2 3 3 3 4 3 3 4 3 3
## [43237] 1 3 3 1 1 2 2 3 3 4 3 3 1 1 1 3 3 1 2 3 2 1 2 3 3 1 4 3 1 2 2 1 1 3 3 3
## [43273] 1 1 2 1 2 2 3 1 2 1 3 3 2 2 1 2 3 1 1 2 3 3 1 3 3 3 3 3 3 2 3 3 1 2 1 3
## [43309] 3 4 2 3 1 1 2 4 2 3 2 4 3 3 3 2 3 3 3 4 3 3 1 3 3 2 4 3 2 1 4 2 2 3 3 2
## [43345] 3 4 3 1 2 2 3 4 4 3 3 3 1 2 2 3 3 1 2 3 1 3 3 3 3 1 4 2 4 4 1 2 2 3 3 3
## [43381] 3 3 3 3 3 2 2 3 2 3 2 1 3 2 3 1 1 3 3 3 3 2 4 2 3 1 4 2 1 3 2 3 4 1 4 2
## [43417] 3 1 2 3 3 2 2 3 2 2 3 2 3 3 2 3 3 4 4 1 1 3 3 3 3 2 1 1 3 2 3 3 3 1 2 2
## [43453] 4 2 1 2 1 2 4 1 4 1 3 2 1 2 3 1 3 2 2 2 3 2 1 1 4 2 4 3 1 2 3 2 2 2 1 2
## [43489] 4 4 3 2 3 1 4 3 3 2 3 2 3 3 1 3 2 1 2 4 2 1 2 3 4 4 1 3 3 4 2 2 3 3 2 3
## [43525] 3 2 3 4 1 3 1 3 1 3 4 3 1 1 3 2 3 3 1 2 4 3 3 4 2 2 2 1 3 3 3 1 3 3 3 3
## [43561] 1 3 2 2 3 4 3 1 3 1 3 1 3 2 3 2 2 3 3 1 4 1 4 2 3 1 1 1 2 3 4 3 3 3 1 3
## [43597] 1 4 2 3 2 3 3 1 2 1 3 3 2 2 3 2 2 4 3 3 1 3 2 2 4 3 3 1 4 4 4 2 4 3 2 2
## [43633] 3 1 1 2 3 4 3 2 4 4 3 2 3 2 4 4 2 1 4 2 3 3 2 2 1 3 3 4 2 3 3 3 3 2 3 1
## [43669] 3 3 2 1 2 2 2 1 3 1 3 3 1 1 1 2 3 4 2 4 1 1 2 3 3 4 3 1 4 3 2 4 1 3 4 1
## [43705] 4 2 2 1 2 2 3 2 2 1 3 4 2 3 1 4 3 1 4 3 2 4 2 1 2 4 1 3 1 1 3 3 3 3 3 3
## [43741] 1 1 1 1 2 4 2 2 3 3 3 3 1 4 1 1 2 1 3 4 3 1 2 2 4 4 4 3 3 3 3 3 1 4 1 1
## [43777] 4 1 3 4 3 1 4 3 3 1 3 4 1 3 4 3 2 2 1 4 2 4 2 4 3 4 2 2 1 3 2 3 2 2 1 3
## [43813] 1 3 3 2 1 3 2 3 2 3 1 2 1 1 1 4 1 4 2 3 3 3 2 1 2 4 3 1 4 3 1 1 1 4 3 2
## [43849] 1 2 2 2 4 3 2 3 4 3 1 2 2 2 1 2 2 3 2 2 3 1 1 3 2 2 2 3 3 3 2 3 4 1 2 2
## [43885] 4 2 3 1 3 1 1 1 1 1 4 1 2 1 1 4 1 2 1 1 3 1 3 3 1 3 3 2 3 1 2 1 2 3 3 4
## [43921] 1 3 1 3 2 3 4 3 4 2 2 1 1 2 3 2 3 2 1 2 2 3 4 2 2 2 2 3 3 2 4 3 2 4 4 1
## [43957] 1 3 2 3 2 4 1 3 3 2 1 1 4 1 1 2 2 2 1 2 2 3 1 3 4 3 3 1 4 1 4 4 3 3 2 4
## [43993] 3 3 1 4 3 3 4 2 3 3 2 1 3 4 3 2 1 1 1 3 3 2 3 1 3 3 3 2 2 4 3 3 3 4 4 1
## [44029] 1 1 2 2 3 2 4 1 3 3 1 3 2 4 4 1 2 1 2 2 2 1 1 1 4 4 3 1 3 3 2 2 2 1 2 3
## [44065] 2 2 1 2 1 2 3 1 4 3 1 3 4 2 1 2 2 2 4 3 2 1 4 4 1 4 4 2 2 4 3 2 1 4 2 3
## [44101] 2 3 2 4 2 1 1 3 1 4 1 2 3 4 3 2 3 3 1 1 3 3 2 3 3 2 3 2 2 3 1 3 3 4 2 1
## [44137] 1 2 3 2 3 1 1 3 4 4 2 3 1 1 3 1 2 3 3 3 3 1 3 2 1 3 3 3 4 3 1 4 1 3 1 2
## [44173] 3 4 3 3 3 2 1 4 3 1 3 1 2 3 1 1 3 3 3 2 3 4 1 2 3 3 1 4 3 1 1 3 3 3 1 1
## [44209] 3 1 3 1 1 4 3 2 3 4 1 4 1 1 2 3 1 3 1 2 1 4 1 1 1 1 1 1 3 1 2 2 3 1 1 3
## [44245] 1 3 1 3 3 2 1 3 3 1 1 1 3 2 1 3 3 2 2 2 2 2 3 3 4 1 4 3 2 1 1 2 3 1 3 4
## [44281] 3 4 1 3 4 1 1 3 4 3 3 3 3 2 2 1 2 3 2 2 3 3 1 3 3 3 1 2 4 3 2 1 3 3 4 1
## [44317] 1 3 3 3 3 3 3 3 2 3 2 2 2 1 4 1 3 4 1 2 4 3 3 1 1 4 2 2 3 4 2 3 2 2 1 3
## [44353] 3 2 2 4 4 1 4 3 3 3 3 2 2 3 3 1 1 2 3 1 2 3 3 3 1 2 3 2 3 3 3 3 1 3 1 2
## [44389] 2 3 2 1 4 4 3 2 2 2 1 2 3 1 3 2 1 2 4 3 2 3 4 1 3 3 3 2 2 3 4 4 1 1 3 4
## [44425] 3 2 3 2 3 4 2 3 3 4 3 3 1 3 1 4 3 1 3 3 2 3 3 2 1 3 4 2 3 3 2 3 1 3 1 3
## [44461] 2 2 3 2 3 2 3 2 1 4 3 2 2 1 3 3 3 3 2 3 4 4 2 2 4 2 3 1 3 1 4 2 2 1 3 4
## [44497] 3 2 2 2 1 3 1 3 2 2 4 1 3 2 1 4 3 4 3 4 3 4 4 3 3 1 3 2 2 1 3 3 2 4 4 1
## [44533] 3 1 1 1 2 1 1 2 3 3 4 3 1 3 2 1 3 2 1 3 3 2 1 3 3 3 3 2 1 2 2 3 1 2 2 2
## [44569] 2 2 4 1 2 1 2 2 4 4 2 1 3 3 3 3 3 4 2 3 3 2 3 1 3 2 3 2 2 1 4 3 4 2 4 1
## [44605] 4 1 1 4 2 2 3 2 3 3 3 3 3 2 1 1 2 2 1 4 1 1 3 1 1 1 1 3 3 4 4 3 2 3 3 3
## [44641] 2 1 3 1 3 4 4 2 2 2 3 1 4 3 3 2 3 1 3 3 3 1 4 3 2 1 2 2 2 3 3 1 3 3 1 3
## [44677] 3 3 3 2 3 3 1 4 3 3 3 3 3 3 1 2 4 4 3 1 3 1 3 4 3 1 3 4 1 3 3 3 4 3 4 3
## [44713] 4 3 2 2 2 1 2 3 2 2 2 3 2 3 1 2 2 2 4 2 2 3 4 3 1 2 3 2 4 3 2 4 3 4 3 4
## [44749] 3 2 3 3 2 2 3 1 2 4 2 3 3 4 2 4 3 2 1 3 3 2 4 1 3 2 1 3 3 2 3 1 4 3 2 2
## [44785] 1 1 4 3 3 2 1 3 3 3 2 1 1 3 2 3 3 1 2 2 3 1 3 3 2 3 2 3 3 3 3 2 3 3 3 2
## [44821] 3 1 1 4 3 1 4 3 1 3 1 3 2 2 3 3 4 1 3 2 3 1 1 3 3 4 2 2 3 1 1 4 2 2 4 1
## [44857] 4 2 4 1 3 2 3 2 2 4 3 3 3 4 3 3 1 4 3 4 4 2 2 3 3 2 2 3 1 3 4 3 1 3 2 2
## [44893] 1 1 1 3 3 1 3 3 3 4 2 1 1 3 3 1 2 3 1 1 2 2 4 3 3 1 4 1 3 3 1 2 3 3 1 3
## [44929] 2 4 2 2 1 3 1 2 3 1 3 3 3 4 1 3 4 1 3 1 1 3 1 3 2 1 3 1 4 1 4 3 1 1 4 4
## [44965] 4 2 1 4 1 4 3 4 1 4 2 1 2 2 3 1 4 1 1 3 3 2 1 1 2 1 3 4 3 1 3 2 3 1 1 2
## [45001] 3 1 3 3 1 2 3 3 3 3 1 4 3 4 2 2 3 3 4 3 4 2 3 3 3 2 3 3 2 1 2 1 1 3 2 4
## [45037] 1 2 1 1 2 3 1 1 3 3 2 3 1 1 3 3 3 1 1 3 1 1 2 1 3 1 1 1 3 1 3 1 3 3 3 1
## [45073] 2 1 3 3 3 1 4 3 4 3 2 2 2 1 3 3 4 2 2 1 4 3 3 3 4 1 1 2 2 1 1 1 2 3 1 3
## [45109] 3 4 3 1 2 3 3 2 3 2 2 3 1 4 1 3 4 3 3 3 1 3 1 4 2 1 2 3 3 2 3 1 3 4 1 2
## [45145] 2 3 3 3 1 3 1 3 2 1 3 2 2 3 1 4 4 1 1 1 3 2 1 3 2 3 4 1 3 4 3 1 4 1 1 1
## [45181] 1 1 1 3 3 1 3 1 2 3 4 1 1 3 2 3 1 3 2 2 1 3 1 3 4 3 3 1 2 4 2 1 1 4 2 3
## [45217] 2 4 3 2 3 2 2 3 1 1 3 2 3 2 3 1 1 3 2 2 3 3 3 2 2 2 3 4 3 3 3 1 3 4 1 3
## [45253] 3 4 4 2 3 1 2 3 3 3 3 1 3 2 3 3 2 2 2 2 1 3 3 3 2 3 2 4 3 3 3 4 2 1 2 3
## [45289] 1 2 3 3 2 4 2 2 3 1 1 4 3 3 4 3 2 4 2 2 3 1 2 2 3 1 2 3 1 4 2 2 1 1 2 2
## [45325] 3 1 3 1 2 3 3 1 2 3 3 2 2 3 2 3 3 3 3 2 2 3 4 4 2 1 3 1 3 4 2 2 4 1 1 4
## [45361] 4 3 2 3 4 1 3 3 1 3 3 1 3 3 1 3 3 2 1 2 2 3 1 1 2 4 3 1 1 4 2 1 4 3 3 1
## [45397] 2 4 1 4 1 2 3 3 2 1 4 2 3 3 3 3 2 2 3 3 3 4 3 3 3 2 2 1 3 2 3 2 4 3 3 1
## [45433] 1 3 2 4 1 1 2 3 1 3 3 1 4 3 4 3 3 2 2 3 3 4 1 3 4 3 4 2 1 2 4 2 2 1 4 4
## [45469] 4 3 2 1 1 2 4 3 1 2 1 4 2 4 1 2 2 1 4 2 1 1 2 3 2 3 4 1 3 1 3 3 3 3 1 1
## [45505] 4 3 2 1 2 3 2 2 3 2 2 2 3 3 3 2 3 3 2 1 3 2 3 2 2 2 3 2 4 1 1 2 1 1 2 3
## [45541] 3 3 3 3 3 4 1 1 3 3 3 2 2 2 3 3 1 3 3 2 1 2 1 2 2 1 3 3 1 3 4 2 3 3 3 4
## [45577] 4 2 1 2 3 2 3 3 1 3 3 2 2 3 1 4 4 2 2 3 3 2 1 2 2 4 3 4 2 3 3 3 2 1 1 4
## [45613] 1 3 3 2 2 2 3 3 2 2 4 3 1 1 3 3 3 4 2 3 4 3 3 3 2 4 4 3 3 1 4 2 3 3 3 2
## [45649] 2 4 4 2 1 2 3 3 1 3 3 3 4 3 3 2 2 4 3 2 4 4 2 3 3 4 2 3 1 2 2 3 2 1 4 1
## [45685] 2 1 2 1 4 2 4 2 3 2 1 1 3 3 2 3 3 3 2 1 3 3 4 2 2 3 2 1 4 2 1 3 2 3 2 1
## [45721] 3 2 3 4 2 3 4 2 1 2 3 3 2 3 1 1 4 3 1 4 3 2 2 3 1 3 4 2 2 3 3 1 4 2 1 1
## [45757] 1 3 1 1 3 3 1 4 3 3 2 2 1 3 3 2 3 1 4 4 2 3 3 3 1 3 3 2 1 1 1 1 1 2 3 3
## [45793] 1 1 3 3 3 3 4 1 3 4 3 1 3 3 3 2 3 2 1 3 3 1 4 3 1 3 4 1 2 1 2 4 2 3 1 3
## [45829] 2 2 2 1 3 1 2 3 4 1 1 2 4 3 1 1 1 4 1 2 3 2 4 2 3 2 2 1 3 1 2 1 2 3 3 1
## [45865] 2 2 1 1 1 3 3 3 2 3 2 3 2 1 3 4 1 3 1 4 2 3 2 3 2 4 3 3 4 3 2 3 3 2 2 2
## [45901] 2 2 2 3 3 2 1 4 1 2 3 3 3 2 3 3 2 3 1 2 1 1 3 1 2 1 2 3 3 1 3 1 2 2 2 3
## [45937] 2 3 1 1 4 2 1 3 3 1 2 3 2 3 2 4 3 2 1 3 1 1 4 3 4 3 4 2 2 3 4 3 3 4 1 1
## [45973] 4 2 1 2 3 1 3 2 1 3 1 1 2 3 1 1 2 3 3 3 3 3 1 3 3 3 3 4 4 3 2 3 3 2 2 3
## [46009] 2 2 1 1 3 3 1 1 2 3 3 3 2 3 2 3 3 4 1 1 3 1 3 2 1 4 3 1 3 3 1 2 3 4 3 4
## [46045] 3 3 1 3 4 3 1 1 2 1 3 1 2 3 1 2 3 2 2 3 4 1 1 2 2 4 3 4 3 3 1 3 3 1 4 3
## [46081] 2 2 3 1 4 3 3 1 2 1 3 3 1 2 2 2 3 1 3 1 3 1 3 1 1 3 1 1 2 3 3 3 3 3 1 3
## [46117] 1 2 1 2 3 2 3 3 1 4 4 2 3 2 3 1 2 3 3 1 3 3 2 2 2 1 2 2 3 3 3 4 3 3 1 2
## [46153] 1 3 1 3 3 3 3 2 3 3 3 4 3 2 3 1 2 1 3 3 1 2 2 1 2 3 3 1 3 1 3 3 2 2 3 3
## [46189] 2 3 1 1 3 1 1 3 1 1 1 2 3 2 2 3 3 1 1 4 1 1 3 2 1 2 1 2 2 1 3 2 2 2 1 1
## [46225] 1 3 3 2 3 2 3 1 1 1 2 1 2 3 3 2 2 2 3 1 2 1 4 3 3 3 2 3 3 3 3 1 4 1 4 2
## [46261] 2 4 3 4 3 1 2 4 2 3 1 1 4 2 1 1 3 1 2 4 1 3 3 3 3 1 1 3 2 3 2 2 1 1 2 3
## [46297] 3 3 1 4 1 3 3 1 1 3 1 2 3 4 3 1 3 3 2 3 1 2 2 3 1 3 1 4 3 2 3 2 3 2 4 3
## [46333] 1 1 3 2 2 2 3 3 2 3 1 2 3 3 1 4 1 2 4 1 2 2 2 3 3 4 1 3 1 4 1 1 1 3 3 1
## [46369] 3 3 4 1 1 4 3 1 2 2 4 3 3 2 2 1 4 3 4 3 2 3 2 1 3 3 2 4 3 2 4 1 4 1 2 2
## [46405] 3 1 3 1 1 1 3 3 4 2 2 2 2 3 1 3 3 3 4 3 1 1 4 4 1 1 1 2 1 2 2 2 3 2 2 3
## [46441] 4 2 3 2 2 3 4 3 3 2 4 2 3 2 1 3 2 1 1 2 2 1 3 3 3 4 2 1 1 3 2 3 4 2 3 2
## [46477] 1 1 3 3 2 3 3 3 3 4 1 2 2 3 1 2 1 2 4 2 3 1 2 1 3 4 4 3 2 2 3 1 3 3 3 1
## [46513] 1 1 1 3 3 2 3 3 4 1 4 2 4 1 3 1 2 4 1 3 3 2 2 4 2 3 2 2 3 3 2 3 3 4 3 1
## [46549] 4 1 3 3 2 2 3 1 3 2 2 4 3 4 1 1 2 3 2 2 1 3 3 3 3 3 3 3 2 2 2 1 3 2 3 2
## [46585] 3 3 1 3 1 3 2 1 2 2 3 3 4 2 3 3 3 1 3 2 3 3 4 2 4 2 3 2 3 1 3 3 2 3 2 3
## [46621] 3 3 1 4 4 3 2 3 2 2 3 3 2 4 4 3 3 2 1 3 3 3 1 3 3 4 1 3 2 2 3 3 2 3 1 2
## [46657] 1 3 3 3 4 1 3 1 3 3 1 3 1 2 3 1 3 3 4 2 4 4 3 2 4 3 3 1 2 2 3 1 3 2 3 1
## [46693] 2 3 3 4 1 2 4 4 2 3 3 2 3 1 1 3 3 4 2 4 1 1 2 1 1 2 3 2 2 4 3 2 2 4 2 3
## [46729] 1 3 2 1 3 2 2 2 2 2 3 3 3 1 3 3 3 2 1 3 3 1 2 3 2 1 3 3 3 2 3 3 1 1 3 4
## [46765] 3 4 2 3 3 2 3 3 2 3 3 2 2 2 1 3 3 4 1 3 3 1 3 3 2 1 1 3 2 3 1 1 1 3 3 4
## [46801] 1 3 1 2 2 2 3 2 3 3 1 3 1 2 2 1 1 4 2 4 3 1 3 4 4 1 1 3 3 1 2 4 1 2 3 2
## [46837] 1 3 4 2 3 1 2 2 1 1 4 1 1 4 1 2 3 2 3 2 2 2 3 2 2 3 3 3 4 2 1 3 4 3 3 4
## [46873] 2 3 1 1 2 2 3 2 4 1 1 2 1 1 4 3 1 1 2 3 2 1 1 1 3 2 1 4 2 4 4 3 1 1 2 1
## [46909] 3 3 2 2 3 3 2 3 1 4 1 1 3 2 2 3 2 1 1 3 2 3 3 1 3 4 1 3 1 3 4 1 1 4 2 3
## [46945] 3 1 3 2 2 2 3 3 4 2 3 4 3 2 3 3 3 4 3 4 4 3 1 3 2 1 3 3 2 2 2 3 3 1 2 3
## [46981] 3 1 3 2 2 3 4 2 3 1 2 3 2 2 3 1 3 1 3 2 2 1 2 1 3 2 3 3 2 3 1 4 4 2 1 3
## [47017] 4 1 3 1 2 4 3 2 3 2 1 1 4 3 1 1 3 1 4 4 1 3 1 3 3 4 2 2 3 3 3 1 1 2 2 3
## [47053] 3 4 2 3 3 1 3 3 3 4 1 4 3 2 1 1 1 1 2 3 3 3 1 2 1 4 2 1 3 2 1 1 1 2 4 1
## [47089] 1 4 2 3 2 4 4 2 3 3 1 1 4 4 4 2 3 1 1 2 3 2 3 3 1 1 2 1 3 1 1 4 4 1 1 4
## [47125] 3 3 1 1 4 3 2 3 3 4 1 2 2 3 1 1 2 4 2 3 3 1 2 2 4 3 4 3 2 3 1 1 3 1 4 2
## [47161] 2 2 1 3 3 4 1 1 3 1 1 1 2 2 1 2 3 1 3 1 3 3 3 3 3 3 1 4 4 3 1 1 3 1 1 3
## [47197] 1 1 3 1 3 2 3 1 4 3 3 2 1 2 3 2 3 3 2 2 1 1 4 1 4 2 3 3 3 2 2 1 3 3 1 2
## [47233] 2 2 3 2 3 2 2 4 3 1 1 2 1 3 2 1 3 3 3 3 3 3 3 3 3 2 1 1 3 3 2 3 1 3 4 3
## [47269] 1 3 1 2 3 1 2 2 1 1 2 2 1 3 1 4 3 2 3 3 4 2 3 1 2 3 4 2 2 3 3 3 1 3 1 2
## [47305] 1 3 3 3 3 3 3 3 1 3 4 3 3 1 2 2 2 3 3 2 1 4 2 3 3 4 1 3 2 2 3 4 1 3 3 3
## [47341] 2 1 3 2 4 1 1 2 3 2 1 3 3 2 3 4 3 4 3 3 3 3 1 3 3 1 3 4 3 2 3 2 1 1 4 2
## [47377] 2 2 2 1 3 2 3 2 2 1 3 4 3 3 2 2 3 3 3 4 3 1 1 4 3 2 2 3 1 3 2 3 3 3 2 4
## [47413] 3 1 3 3 1 2 3 4 1 2 2 2 1 3 3 4 1 2 3 3 2 3 4 3 2 2 1 1 2 3 2 2 2 1 2 1
## [47449] 3 2 3 4 4 3 2 3 4 3 4 2 4 4 1 1 2 2 1 2 2 2 3 1 4 2 1 2 2 2 2 2 2 3 3 3
## [47485] 3 3 1 2 1 2 2 3 4 4 4 4 3 1 4 2 3 3 4 1 2 3 3 2 2 1 1 3 3 2 1 3 3 4 1 3
## [47521] 2 4 2 2 4 3 2 2 1 3 3 4 1 3 2 1 2 3 2 1 4 3 1 3 2 3 4 2 2 2 3 3 1 3 3 3
## [47557] 3 3 3 3 2 3 3 3 1 2 2 3 3 2 1 3 3 3 3 3 3 3 3 2 3 3 2 1 4 1 2 2 2 4 1 3
## [47593] 4 2 3 2 3 3 4 1 2 3 2 2 1 3 1 2 3 2 2 2 3 3 3 2 3 3 2 1 1 2 1 4 2 2 3 2
## [47629] 3 3 4 1 2 1 1 2 3 1 4 1 3 2 3 3 3 4 3 1 4 3 2 3 2 4 3 3 3 2 2 3 3 3 3 4
## [47665] 3 3 3 1 3 3 3 3 1 3 4 2 3 4 2 2 1 2 2 3 1 3 3 1 2 3 4 1 3 3 1 3 1 1 2 2
## [47701] 2 1 3 3 3 1 2 2 3 1 1 3 3 4 3 3 3 4 1 3 3 3 2 3 2 3 2 3 1 2 4 3 4 2 2 3
## [47737] 3 1 3 1 2 3 3 1 2 1 3 1 3 3 3 1 3 4 1 2 2 2 2 3 3 1 2 1 1 3 4 2 2 3 4 3
## [47773] 1 2 1 3 3 3 2 4 1 1 2 3 3 2 2 2 3 2 3 1 1 3 4 3 3 4 2 4 2 2 4 4 3 1 3 3
## [47809] 1 3 2 3 3 3 1 3 3 1 1 3 2 1 1 1 2 1 4 2 2 2 3 3 2 3 1 2 1 3 3 2 3 2 1 3
## [47845] 2 1 3 3 3 4 2 3 1 3 2 1 3 4 3 1 3 2 3 4 3 3 2 2 4 4 2 1 3 1 1 3 3 3 1 2
## [47881] 4 3 1 4 3 3 2 1 2 1 3 3 3 4 2 2 4 2 1 2 2 3 4 3 3 3 3 4 3 4 3 2 3 2 2 4
## [47917] 1 3 3 3 2 1 1 2 3 1 3 3 3 1 2 4 3 3 2 3 2 3 1 3 1 1 4 1 2 3 3 3 1 2 1 4
## [47953] 2 2 2 2 1 2 4 3 4 1 3 1 1 3 2 2 4 1 4 3 4 1 3 3 2 2 2 2 3 1 3 3 2 2 3 1
## [47989] 3 3 2 3 2 4 1 3 4 4 2 4 1 3 1 1 1 4 3 3 1 1 2 2 4 2 3 1 1 2 3 2 3 3 1 2
## [48025] 4 1 4 3 3 2 3 1 1 2 1 3 2 4 1 2 1 3 3 1 1 4 2 1 2 3 3 1 2 3 3 2 3 2 3 3
## [48061] 1 3 1 2 4 1 4 3 2 1 2 4 2 4 2 1 2 4 1 2 2 4 2 2 1 3 3 3 2 2 2 3 2 4 3 1
## [48097] 2 3 2 2 3 1 1 1 1 1 3 1 1 3 2 4 4 2 3 3 3 1 2 3 4 1 3 3 1 4 2 3 3 3 2 2
## [48133] 2 1 3 1 1 4 2 1 4 2 2 3 1 3 3 3 2 4 2 3 1 3 2 1 2 1 3 3 2 2 3 4 4 2 3 3
## [48169] 2 2 2 3 4 2 3 4 1 1 1 2 2 1 3 2 3 2 3 3 1 2 2 2 2 1 3 1 3 2 2 1 1 2 3 3
## [48205] 3 1 3 3 2 1 3 3 1 1 2 1 3 4 2 1 3 1 3 1 3 3 2 2 4 2 2 2 4 3 4 3 2 3 3 2
## [48241] 4 4 3 1 2 3 1 4 1 4 4 4 3 3 3 3 2 3 3 3 3 4 3 1 2 2 4 3 1 1 2 1 2 2 3 3
## [48277] 4 2 3 1 3 2 1 1 3 2 1 2 4 3 2 3 4 4 2 4 3 2 2 1 1 4 1 3 3 3 1 2 4 2 2 4
## [48313] 3 4 1 2 1 3 3 4 4 3 3 3 2 1 2 1 2 3 3 2 4 3 2 1 3 3 2 1 2 1 1 2 2 4 3 1
## [48349] 3 2 2 2 3 1 2 2 3 3 4 1 2 1 2 2 3 3 1 2 2 1 3 1 2 3 3 4 2 1 3 2 1 3 2 4
## [48385] 1 4 2 1 3 2 1 2 3 2 1 2 3 1 3 1 3 1 1 3 1 1 3 1 4 2 3 3 3 1 2 3 2 3 4 3
## [48421] 3 4 1 2 3 2 3 4 4 3 1 1 4 4 4 1 3 1 2 1 3 1 2 4 3 3 2 4 3 2 2 3 3 4 2 1
## [48457] 3 1 2 2 2 2 3 4 4 3 4 3 1 3 2 3 3 3 1 3 4 2 2 3 3 3 3 1 3 3 2 1 2 1 2 1
## [48493] 3 3 3 3 3 1 3 3 3 1 2 4 2 2 2 3 3 3 2 3 4 3 2 2 2 4 1 2 4 3 1 2 1 1 1 1
## [48529] 3 4 3 1 2 2 3 3 3 3 2 2 3 2 3 2 3 2 3 1 2 1 2 2 3 1 1 1 3 1 3 3 3 3 3 2
## [48565] 3 1 2 2 1 3 1 1 1 2 1 2 4 4 1 3 1 4 2 3 1 1 2 4 2 3 4 3 3 2 3 3 3 3 2 3
## [48601] 2 4 2 1 2 1 2 2 1 4 2 2 4 2 3 2 4 1 3 2 3 2 3 4 3 4 3 1 3 3 1 2 3 3 4 4
## [48637] 4 1 1 2 3 3 2 3 3 1 2 1 3 3 2 1 2 2 3 3 3 2 2 1 4 1 3 3 4 4 1 3 3 3 1 2
## [48673] 2 3 2 1 3 1 4 3 2 3 1 2 4 1 1 1 3 3 1 4 2 4 4 1 2 3 1 4 3 2 3 3 4 2 1 3
## [48709] 1 1 1 3 4 1 3 3 1 3 3 4 2 2 3 4 1 4 1 1 2 1 2 2 3 1 3 1 2 2 1 3 3 3 2 1
## [48745] 2 4 1 4 3 4 4 3 2 1 3 3 2 2 1 3 3 2 2 1 2 2 1 2 2 3 4 1 1 2 3 1 3 3 4 1
## [48781] 3 3 2 1 2 3 1 4 2 4 4 2 3 2 1 2 2 1 3 2 2 3 1 3 2 3 2 3 1 4 2 3 1 1 2 4
## [48817] 2 2 2 1 4 3 1 1 2 2 3 3 3 2 2 3 1 1 2 4 3 4 4 4 3 1 3 3 4 3 2 3 3 4 4 3
## [48853] 2 4 2 1 1 1 3 2 1 3 3 3 2 1 3 3 2 3 2 2 3 3 2 1 4 3 2 4 4 3 3 3 4 4 3 3
## [48889] 3 1 4 1 3 1 2 3 3 3 3 2 2 3 2 3 2 3 1 1 3 2 3 3 2 2 3 1 2 2 3 2 3 3 1 3
## [48925] 2 3 2 4 4 3 3 2 1 1 4 2 4 1 1 3 3 3 2 1 3 3 1 2 3 3 4 2 3 1 2 1 3 1 2 2
## [48961] 2 1 3 2 1 1 4 2 4 3 1 2 4 1 3 3 2 1 2 3 1 1 1 4 3 3 1 2 1 3 1 1 3 3 1 3
## [48997] 3 4 1 2 4 3 3 3 3 3 3 4 3 1 3 3 1 3 3 3 3 1 2 2 3 2 1 3 4 3 3 2 2 1 4 1
## [49033] 3 1 4 2 1 1 3 4 4 4 3 1 2 2 2 3 2 2 1 2 2 1 2 2 2 2 3 4 3 1 3 3 3 4 2 3
## [49069] 1 3 3 3 3 1 4 3 1 1 4 2 1 1 4 3 2 4 1 1 2 2 2 3 3 2 3 3 3 1 3 2 1 2 3 3
## [49105] 3 1 2 4 3 2 2 2 3 1 3 1 3 3 1 1 3 2 4 3 4 3 1 4 2 3 3 4 3 4 3 2 4 2 4 3
## [49141] 2 1 1 1 4 4 3 4 2 1 2 4 1 3 4 3 2 2 3 2 2 1 1 3 3 3 2 3 3 3 3 3 3 3 3 4
## [49177] 2 4 2 1 3 3 1 2 1 3 3 3 3 4 2 3 1 3 1 1 1 3 1 3 3 2 1 3 3 1 1 1 3 3 1 3
## [49213] 2 3 3 3 1 2 3 3 4 3 3 1 2 4 2 1 2 4 1 4 1 3 1 3 2 1 3 2 1 2 2 1 2 2 4 3
## [49249] 2 2 3 2 1 4 3 3 2 3 3 2 3 3 2 4 1 1 1 2 2 1 4 2 2 2 2 3 2 3 3 3 2 2 3 2
## [49285] 1 1 1 4 4 3 3 1 3 3 3 2 3 1 4 1 4 1 3 4 3 1 2 1 1 3 3 2 3 1 3 3 3 2 2 4
## [49321] 3 3 2 1 2 1 3 1 3 2 4 2 1 2 2 3 1 3 3 3 3 4 2 3 4 3 3 3 2 3 4 3 4 3 2 4
## [49357] 2 3 1 2 2 3 3 2 1 2 3 2 2 1 3 4 2 4 4 2 1 4 2 2 2 2 1 1 1 2 2 3 1 1 1 4
## [49393] 1 1 3 2 2 1 3 4 2 3 1 3 3 2 1 3 3 1 2 1 4 1 3 2 3 3 2 1 4 4 2 2 1 2 1 3
## [49429] 2 3 1 1 1 2 1 3 4 1 1 3 2 2 3 4 4 1 4 1 3 1 3 1 1 3 1 1 2 2 2 2 3 2 2 1
## [49465] 4 3 3 4 3 2 1 1 1 1 2 1 1 3 1 1 3 4 4 2 2 2 1 3 3 4 2 2 1 4 4 3 2 2 3 2
## [49501] 3 3 3 1 3 4 1 2 4 3 2 1 1 3 4 1 3 4 1 2 3 1 3 1 3 3 1 3 3 3 3 2 1 1 1 3
## [49537] 3 3 3 2 3 3 2 3 4 2 2 1 4 2 3 1 3 2 1 3 2 1 2 3 2 1 1 2 3 3 1 4 1 3 1 3
## [49573] 3 3 2 3 2 2 2 3 4 3 1 3 3 2 2 3 2 3 3 4 3 1 3 1 3 1 2 3 2 3 4 3 3 4 4 3
## [49609] 2 1 3 3 3 3 4 2 3 4 3 4 1 1 1 2 1 3 2 3 3 3 3 3 3 2 3 1 4 1 4 3 3 3 2 3
## [49645] 3 3 1 3 1 4 3 3 3 2 3 2 1 2 3 3 4 2 3 1 3 1 2 3 1 3 3 3 1 4 3 3 3 3 3 1
## [49681] 1 4 2 2 3 3 3 3 3 2 3 2 3 3 2 1 3 4 2 1 3 2 3 4 3 3 2 2 3 1 2 3 4 3 1 1
## [49717] 4 3 4 3 2 3 2 3 2 3 1 1 1 2 2 2 1 3 1 1 2 2 2 2 3 1 4 3 2 3 2 3 2 2 2 3
## [49753] 2 2 2 1 3 3 2 2 3 2 1 3 3 3 2 2 3 3 3 1 3 3 2 1 4 2 1 3 2 3 3 1 3 2 2 1
## [49789] 2 3 1 3 1 4 1 2 1 2 4 1 3 3 3 3 2 3 2 1 2 1 1 2 2 2 1 3 2 3 3 2 1 3 4 1
## [49825] 2 1 3 1 3 1 3 3 3 4 1 2 2 2 3 1 3 2 1 1 3 1 3 1 3 4 3 3 2 3 3 3 4 1 1 1
## [49861] 2 1 1 3 2 3 3 2 1 1 4 3 3 4 3 2 3 2 4 2 4 2 3 4 1 4 4 4 2 3 3 3 1 3 3 2
## [49897] 1 3 3 3 2 1 1 3 3 3 1 2 2 3 4 2 3 1 2 1 4 2 3 2 1 3 2 4 2 1 1 4 3 2 3 2
## [49933] 2 1 1 3 1 2 2 1 1 2 1 4 3 2 3 4 3 3 1 1 1 3 3 3 1 4 2 3 3 1 3 1 3 1 4 3
## [49969] 2 1 1 3 3 1 2 1 3 1 3 1 3 2 2 3 3 3 1 3 1 2 1 1 1 1 3 3 2 2 2 1 3 4 2 2
## [50005] 1 3 3 1 4 2 1 3 3 2 4 1 4 3 2 2 4 1 3 3 1 3 1 3 2 2 2 3 3 2 2 4 3 3 3 2
## [50041] 1 2 3 4 2 1 3 2 3 1 3 2 1 3 3 3 2 3 3 4 2 2 4 1 2 4 3 3 2 1 1 3 3 3 2 1
## [50077] 1 2 2 3 1 1 2 3 2 1 2 3 2 3 1 2 2 3 3 1 1 1 1 3 1 3 3 3 3 2 3 1 2 4 1 4
## [50113] 1 3 3 1 3 3 3 4 3 1 2 2 2 3 4 4 2 4 2 2 2 2 1 4 2 3 1 4 3 1 2 1 1 1 4 3
## [50149] 1 3 2 1 1 2 3 4 1 1 1 3 2 3 1 3 3 3 2 4 3 2 1 4 4 4 1 1 2 2 3 1 2 3 3 3
## [50185] 1 2 4 2 3 2 1 3 3 2 2 2 2 1 1 2 2 2 2 1 2 1 3 2 2 1 3 3 3 3 3 2 4 4 2 3
## [50221] 4 1 1 2 2 1 2 3 1 1 2 2 3 1 3 1 4 1 3 2 3 2 3 1 4 1 2 2 3 4 1 1 4 2 1 2
## [50257] 3 2 2 1 3 3 3 3 3 3 3 3 2 2 3 1 1 2 1 3 2 2 3 3 3 4 2 3 3 3 2 1 2 3 3 4
## [50293] 4 1 4 1 4 3 3 3 2 1 2 3 3 3 1 2 2 3 3 3 1 3 2 1 4 4 3 2 3 4 2 1 2 2 3 2
## [50329] 1 1 3 3 1 2 1 3 4 3 1 2 2 3 2 2 3 1 3 1 2 1 3 3 3 1 2 2 2 1 3 1 4 3 2 3
## [50365] 4 2 2 3 3 3 1 3 2 1 2 3 3 1 4 3 3 2 2 3 4 3 1 1 2 2 2 1 2 4 3 3 2 1 2 3
## [50401] 1 1 1 3 1 3 3 2 4 4 4 1 1 3 2 2 2 3 3 1 2 3 1 3 4 1 2 2 2 1 2 3 3 1 1 1
## [50437] 3 3 1 3 2 2 1 3 1 3 1 1 3 2 3 1 3 3 2 1 3 1 3 3 3 1 1 3 2 2 3 3 3 1 3 2
## [50473] 4 3 3 3 2 1 2 2 4 3 3 2 2 4 2 3 4 4 3 1 3 2 3 3 3 3 4 2 3 3 2 3 3 3 4 3
## [50509] 4 4 1 3 3 1 3 3 3 1 2 3 1 4 3 2 2 1 2 3 3 3 3 4 4 3 3 3 2 4 3 3 2 3 4 4
## [50545] 4 1 3 3 2 2 1 2 2 2 2 3 3 3 2 2 2 3 1 3 2 4 3 1 3 2 3 4 3 2 1 4 3 1 4 3
## [50581] 1 4 3 2 3 3 3 1 1 4 3 3 3 3 2 2 3 1 1 2 3 3 3 4 3 1 3 1 3 2 3 3 2 3 2 4
## [50617] 1 3 1 3 3 1 3 1 2 4 3 3 1 1 1 3 4 3 1 4 1 2 1 4 3 3 3 1 2 3 3 2 3 2 1 1
## [50653] 1 3 1 3 3 3 3 2 1 2 4 2 2 2 2 1 3 4 2 3 1 1 3 1 1 3 2 3 3 1 3 1 4 3 3 3
## [50689] 3 1 3 1 1 2 2 3 3 3 3 2 2 3 3 3 2 4 2 3 4 3 3 2 1 4 2 4 3 3 1 2 1 1 4 1
## [50725] 2 3 3 3 2 1 1 4 3 3 4 1 3 2 3 4 1 2 3 3 1 4 1 2 1 4 3 2 4 1 2 1 4 2 3 3
## [50761] 3 2 3 1 3 3 2 3 3 2 1 4 1 3 4 3 1 4 3 3 3 3 2 2 3 2 2 4 2 3 2 2 2 3 2 2
## [50797] 4 3 1 3 4 1 1 4 2 2 3 3 2 4 4 1 2 2 3 2 1 2 3 4 1 2 3 3 2 1 2 3 3 4 4 2
## [50833] 3 2 3 3 3 1 2 4 4 1 1 3 3 4 3 3 3 1 2 1 2 3 1 3 2 3 1 1 2 2 1 1 2 3 3 3
## [50869] 4 4 2 3 1 3 4 1 3 3 2 3 2 2 1 3 2 3 1 3 1 4 3 3 3 4 3 1 4 4 3 1 3 2 1 2
## [50905] 1 2 3 3 1 3 4 3 1 4 3 2 2 4 1 3 1 1 2 2 3 3 4 3 1 3 1 2 1 2 4 1 4 2 3 1
## [50941] 3 2 3 3 4 4 3 3 2 3 2 2 3 3 2 1 3 3 4 4 2 3 2 3 3 3 2 3 1 3 3 2 1 2 1 2
## [50977] 4 3 1 3 3 1 2 3 3 3 1 1 2 1 2 1 2 1 2 3 3 1 2 3 1 4 1 3 3 3 4 4 2 3 2 2
## [51013] 4 1 3 2 3 1 2 4 2 4 1 1 1 4 3 3 1 2 4 3 3 2 3 3 4 1 2 1 2 1 4 1 2 2 3 3
## [51049] 3 2 3 3 3 1 4 3 1 1 1 2 2 2 3 3 3 2 3 2 2 1 2 3 1 2 3 4 4 2 2 1 2 2 2 1
## [51085] 2 3 3 3 3 3 3 1 2 3 3 2 3 3 1 3 1 3 4 3 1 3 1 2 2 3 1 3 3 4 2 1 3 2 1 3
## [51121] 4 3 3 3 1 3 2 3 1 4 1 1 1 1 1 3 2 4 3 2 3 3 2 3 3 3 4 1 3 3 2 3 2 3 3 3
## [51157] 2 3 2 1 2 1 1 3 3 3 1 2 4 1 1 3 3 3 3 2 1 3 2 3 3 2 2 2 1 2 1 3 3 3 1 3
## [51193] 1 4 3 3 4 3 2 3 3 3 1 4 1 3 3 1 3 1 1 3 2 3 1 1 1 4 3 2 3 2 2 1 3 2 3 3
## [51229] 2 1 1 2 2 2 2 4 1 1 3 3 3 2 2 3 3 1 2 2 4 2 2 4 1 3 3 3 3 3 3 4 2 2 3 1
## [51265] 3 1 4 4 4 2 3 1 3 1 2 4 3 3 3 1 4 4 2 2 3 3 3 3 4 3 1 2 1 4 1 3 3 2 3 3
## [51301] 1 1 3 3 1 2 1 2 3 3 4 2 3 3 2 3 2 3 4 4 4 3 3 2 4 1 1 2 1 1 3 1 4 4 3 4
## [51337] 2 4 3 1 1 3 3 2 2 1 4 3 2 1 3 1 1 1 2 4 1 1 1 2 1 2 2 4 3 3 3 3 3 3 1 1
## [51373] 2 1 3 1 4 2 1 3 4 3 2 1 1 3 3 2 1 2 2 1 3 3 3 4 3 3 4 3 4 3 3 2 3 3 1 2
## [51409] 2 3 2 2 3 2 1 1 3 2 3 3 2 3 3 3 2 4 1 2 3 3 2 1 2 3 3 4 1 3 1 3 2 3 2 1
## [51445] 3 2 1 3 3 3 3 3 2 3 4 3 4 2 3 3 3 1 4 2 1 1 2 4 1 3 3 2 2 1 3 1 4 3 2 3
## [51481] 1 3 3 2 3 3 2 2 3 1 1 3 3 1 2 1 2 3 1 3 3 3 1 3 4 2 2 1 3 3 3 2 3 2 3 4
## [51517] 3 1 3 1 4 4 2 2 2 3 2 4 3 1 2 1 1 3 1 1 2 2 3 1 2 2 4 2 3 2 3 3 1 2 1 1
## [51553] 3 3 3 3 2 3 1 2 2 3 2 3 3 1 3 3 3 3 3 4 1 3 2 2 2 3 4 1 2 2 3 4 2 3 3 3
## [51589] 3 1 2 3 3 1 1 2 3 1 2 1 1 3 2 3 3 1 1 2 3 2 3 3 3 3 1 3 2 2 2 1 4 4 3 1
## [51625] 3 3 3 1 2 1 3 3 1 1 4 1 2 2 4 2 1 3 2 2 3 4 2 2 1 1 3 3 1 2 1 1 4 2 4 1
## [51661] 4 3 4 2 3 2 2 2 2 2 3 4 4 3 4 3 1 4 3 2 4 3 3 3 2 3 1 3 3 3 2 4 1 3 3 3
## [51697] 3 3 1 1 3 4 3 3 3 3 3 1 3 1 2 1 3 2 3 2 1 2 2 3 3 1 3 1 1 3 3 3 3 3 4 2
## [51733] 3 3 1 4 2 4 1 3 3 2 1 3 2 3 1 2 3 3 2 3 1 2 1 3 2 1 3 1 2 3 3 3 3 2 1 2
## [51769] 1 2 3 3 1 4 1 3 4 1 3 1 3 1 3 1 2 4 3 3 3 1 3 3 3 3 4 1 2 2 2 2 4 3 3 2
## [51805] 1 1 1 3 2 2 2 3 2 3 1 3 3 3 3 2 3 3 2 3 1 1 3 2 1 2 1 3 2 1 3 3 3 3 4 2
## [51841] 1 2 3 4 4 3 4 3 3 3 1 2 1 3 2 2 1 3 1 1 4 3 1 2 4 3 1 3 3 2 3 3 4 1 3 4
## [51877] 3 4 2 1 4 3 1 3 3 1 3 3 3 4 1 2 3 3 3 4 1 2 4 2 3 2 3 3 3 3 3 3 3 4 3 1
## [51913] 3 3 1 3 3 3 1 2 2 4 3 1 2 4 3 3 1 3 1 1 1 2 1 2 1 4 3 1 3 2 3 3 1 1 2 1
## [51949] 3 2 1 1 4 2 4 1 4 3 2 2 1 1 1 1 4 4 3 3 4 3 1 4 3 4 4 3 2 3 1 3 2 2 2 4
## [51985] 1 3 2 3 2 2 2 1 3 2 1 1 1 4 3 2 4 3 3 3 4 3 3 2 3 2 1 4 3 2 2 2 2 3 4 3
## [52021] 2 1 1 2 4 1 3 4 4 3 3 2 4 3 3 3 2 1 3 1 1 3 2 3 4 4 3 2 2 3 1 1 4 1 1 2
## [52057] 3 1 4 3 2 2 1 2 1 1 3 3 1 2 1 4 2 3 3 3 2 4 3 4 3 3 1 4 4 2 3 2 3 1 2 1
## [52093] 3 3 3 2 3 3 3 2 1 3 2 4 1 2 2 1 3 4 4 4 2 1 2 3 1 2 3 3 1 2 3 2 2 3 3 1
## [52129] 1 2 2 1 1 2 3 3 3 3 3 3 2 3 2 3 1 2 3 1 3 3 3 4 2 3 3 4 2 2 2 3 1 1 1 3
## [52165] 1 3 3 2 3 3 1 4 1 4 3 2 1 4 2 3 2 2 2 3 3 3 1 1 3 2 3 1 2 1 3 2 4 4 4 2
## [52201] 3 4 2 3 1 3 4 3 3 1 3 1 3 1 2 2 2 4 2 4 4 2 4 3 4 2 1 3 2 3 3 3 1 2 2 4
## [52237] 2 3 1 1 4 3 2 3 3 3 3 3 2 3 1 2 3 4 3 4 2 3 1 4 2 1 3 3 3 2 3 1 4 4 1 3
## [52273] 3 3 1 2 3 1 3 2 4 1 3 4 1 3 4 3 1 2 3 4 3 2 3 3 4 2 4 2 1 3 2 3 3 2 4 2
## [52309] 4 3 4 3 3 3 4 3 2 2 2 1 1 4 2 2 1 3 2 2 4 3 4 4 2 2 2 4 3 1 2 2 3 3 4 2
## [52345] 3 1 3 4 2 1 2 3 3 4 3 2 3 1 3 2 2 3 2 3 4 3 3 2 4 2 3 1 2 2 3 2 1 2 3 2
## [52381] 3 3 1 2 3 3 4 1 3 2 2 2 2 1 1 2 3 1 3 4 3 2 3 3 1 3 2 4 3 1 2 3 1 2 3 3
## [52417] 3 1 4 2 2 3 1 4 2 4 2 3 1 4 3 3 1 1 3 4 1 2 1 2 3 3 1 4 1 1 3 2 1 2 1 4
## [52453] 2 3 4 2 3 3 1 2 3 3 2 1 1 3 4 3 2 3 3 3 1 3 4 1 2 3 2 3 3 2 1 1 2 2 2 1
## [52489] 1 2 1 1 1 2 4 2 2 3 2 4 3 4 2 3 2 3 4 1 2 3 3 2 2 3 2 2 3 2 3 3 1 1 4 3
## [52525] 3 3 3 3 1 3 4 1 2 3 1 4 1 1 3 3 1 1 4 3 3 3 3 4 3 4 2 2 1 3 3 3 1 2 3 1
## [52561] 2 1 1 2 4 3 2 1 1 2 2 1 1 3 2 3 1 3 2 3 3 1 4 4 2 4 1 2 1 2 1 3 3 4 1 1
## [52597] 1 3 2 4 3 3 3 2 3 3 1 3 4 3 3 1 3 3 2 3 4 2 2 4 3 3 2 3 1 3 3 3 3 4 3 4
## [52633] 3 3 1 1 3 2 4 3 3 2 1 3 3 4 4 1 1 3 1 2 1 1 1 3 2 3 1 3 2 1 3 3 1 3 2 4
## [52669] 1 4 1 3 1 4 1 3 2 1 2 2 3 3 1 4 2 4 2 1 4 3 2 4 2 1 3 2 3 3 1 3 1 3 2 3
## [52705] 4 1 3 1 1 2 3 3 2 1 2 3 2 3 4 3 1 3 2 1 1 2 1 1 2 1 1 1 1 3 3 3 2 3 3 1
## [52741] 2 4 4 2 3 1 3 1 3 2 2 1 3 2 4 3 3 3 1 3 1 3 3 3 2 4 3 3 4 2 3 4 2 3 3 1
## [52777] 1 3 2 3 2 2 3 3 2 2 2 3 2 1 1 1 2 2 2 3 2 4 4 2 2 3 1 2 1 3 3 4 3 3 3 3
## [52813] 2 3 2 1 1 1 3 1 1 1 1 3 1 1 1 3 2 3 2 3 2 4 1 3 3 2 1 2 4 3 2 3 2 3 4 4
## [52849] 2 2 2 1 1 2 1 2 2 2 3 4 1 1 2 3 2 2 3 1 1 1 4 1 1 3 2 1 4 1 3 1 3 3 1 4
## [52885] 4 2 3 2 2 2 3 3 1 3 3 3 2 1 4 3 1 3 4 3 2 1 3 3 1 1 1 2 3 3 2 3 3 2 1 1
## [52921] 2 3 3 3 2 2 4 4 1 3 1 3 3 2 1 2 1 3 4 1 2 2 3 4 2 2 4 2 4 4 4 4 4 3 3 2
## [52957] 4 1 2 3 1 4 1 4 3 1 3 2 2 2 3 3 3 1 2 3 3 1 3 3 2 2 3 4 2 4 3 3 3 4 1 2
## [52993] 1 3 3 3 1 1 2 2 2 1 3 3 2 3 2 2 1 3 4 3 1 3 3 3 3 4 2 2 2 2 4 1 4 3 2 3
## [53029] 2 3 3 3 2 1 2 4 3 3 2 3 3 4 1 3 4 1 4 4 3 1 1 2 1 3 2 2 2 2 3 3 2 1 2 4
## [53065] 2 3 1 2 3 2 3 4 1 3 3 3 3 2 4 1 3 3 3 4 4 4 4 4 1 2 1 3 1 2 4 2 3 4 2 1
## [53101] 3 3 2 3 4 3 3 3 3 1 2 3 4 3 2 1 3 3 2 1 1 2 3 4 1 1 3 4 2 1 3 3 3 3 3 4
## [53137] 3 2 3 1 2 3 1 4 3 3 4 1 4 3 2 3 2 3 1 3 2 3 2 1 2 3 3 3 2 3 3 3 3 1 2 3
## [53173] 4 2 1 3 4 1 3 2 3 2 4 3 1 2 1 4 3 2 1 1 2 1 3 3 1 3 3 2 4 3 2 4 3 2 3 1
## [53209] 3 1 4 3 4 1 3 2 2 2 4 3 3 3 3 1 3 3 2 3 3 2 2 2 1 2 3 3 3 1 3 3 1 3 3 2
## [53245] 3 3 3 3 2 4 1 1 1 1 3 3 3 4 4 3 3 3 3 2 3 2 3 3 2 2 1 1 2 2 2 2 3 1 3 3
## [53281] 4 3 2 2 3 2 3 1 1 2 3 2 3 3 2 2 2 4 4 2 2 3 3 3 4 1 3 3 1 1 1 2 2 1 1 2
## [53317] 3 4 3 3 2 3 1 1 3 1 3 1 2 3 1 4 3 1 3 1 1 3 2 3 2 4 2 2 2 2 3 2 3 4 1 1
## [53353] 3 2 3 1 4 4 1 1 3 1 3 1 3 3 3 4 1 2 2 1 3 2 1 2 3 1 1 1 1 1 1 3 1 2 2 2
## [53389] 1 3 3 3 2 3 1 2 2 2 2 3 2 3 1 3 1 1 4 1 4 2 3 2 3 3 2 4 2 2 2 3 2 3 4 3
## [53425] 2 1 2 4 2 3 2 1 2 3 1 3 1 3 3 2 2 3 4 3 3 3 1 1 3 4 4 2 3 2 3 2 4 1 3 4
## [53461] 3 3 3 3 2 1 2 2 3 1 2 2 4 3 2 1 2 2 4 2 4 4 3 2 2 3 3 1 3 2 3 3 3 2 3 3
## [53497] 3 1 2 1 3 4 3 3 2 1 3 2 3 3 3 1 2 3 1 2 2 3 3 4 3 2 3 3 1 3 2 2 4 4 3 2
## [53533] 1 2 3 4 2 2 3 3 1 3 3 3 3 3 2 2 3 2 4 3 1 2 2 2 1 3 3 3 3 3 4 4 2 1 3 1
## [53569] 3 1 3 1 2 1 1 2 1 2 3 3 4 1 1 1 3 4 1 2 3 3 2 1 2 4 1 1 3 4 4 3 1 1 2 3
## [53605] 1 2 2 3 2 2 3 2 1 3 3 2 2 1 1 4 3 1 2 3 2 2 3 4 1 2 2 3 3 3 2 1 3 3 2 2
## [53641] 3 2 3 1 4 2 4 3 3 2 4 3 3 4 4 3 1 3 2 3 1 3 2 1 2 3 3 3 3 3 2 3 4 2 2 1
## [53677] 3 4 2 1 3 1 3 3 1 3 2 3 2 3 3 1 1 3 2 1 2 4 3 2 3 1 2 3 2 4 3 2 3 1 2 3
## [53713] 1 1 3 2 3 2 2 2 3 3 4 3 3 2 2 1 2 1 3 3 2 1 3 1 3 1 2 3 2 1 1 3 3 3 2 3
## [53749] 1 3 3 1 1 2 2 3 2 4 4 3 1 1 3 4 2 3 2 1 4 2 4 3 2 4 4 2 1 1 1 1 2 4 3 1
## [53785] 2 2 1 4 1 2 2 4 3 3 4 1 1 1 3 3 2 2 3 2 3 2 2 1 3 4 2 1 1 3 3 2 2 3 2 4
## [53821] 1 2 4 3 3 3 2 4 3 2 4 3 3 2 3 4 2 1 4 3 3 3 4 2 2 3 3 1 1 1 3 3 3 2 2 2
## [53857] 4 3 3 1 1 3 4 4 2 3 1 3 1 4 4 2 4 3 1 3 3 1 4 3 1 4 3 1 1 3 3 4 2 1 2 3
## [53893] 2 1 1 3 4 2 1 1 3 3 2 3 1 2 2 3 1 2 2 3 1 1 1 3 1 3 3 1 4 3 2 2 3 1 3 2
## [53929] 3 2 1 2 2 2 1 3 3 4 1 4 1 4 1 1 3 3 1 2 2 1 1 4 1 1 3 3 2 3 1 2 1 3 1 2
## [53965] 1 1 3 3 2 3 2 2 4 4 4 1 1 2 3 4 2 1 3 2 2 1 1 1 1 3 2 3 3 3 3 2 3 2 1 3
## [54001] 1 2 3 1 2 3 3 1 2 3 4 3 1 3 1 2 3 4 3 2 2 1 2 2 1 3 1 3 3 3 1 4 1 2 2 4
## [54037] 2 3 1 2 3 3 3 3 3 1 1 2 3 4 1 3 3 1 3 2 1 3 1 3 3 2 2 2 3 3 2 1 4 4 1 3
## [54073] 3 3 1 1 1 1 3 3 1 2 3 3 4 3 3 1 3 1 3 1 4 3 1 4 3 4 2 1 4 2 3 4 3 1 3 2
## [54109] 3 3 3 3 2 1 2 3 2 2 3 3 3 1 3 2 1 2 1 3 4 2 3 3 3 1 4 4 3 2 2 1 1 2 2 2
## [54145] 2 3 3 2 3 1 2 3 1 2 2 4 3 3 1 3 4 2 2 2 3 2 2 2 3 2 3 3 3 3 2 4 2 2 2 4
## [54181] 3 3 1 3 4 3 4 2 1 2 3 1 3 2 2 4 3 3 3 3 2 2 4 1 3 4 3 1 1 3 1 3 1 3 2 2
## [54217] 1 1 1 1 3 4 4 1 4 1 3 3 3 3 2 3 1 3 3 2 3 1 4 4 3 3 3 2 1 2 2 2 2 3 4 1
## [54253] 3 1 2 2 3 2 4 1 3 3 3 4 1 1 1 3 2 2 1 1 4 1 3 2 1 3 3 1 2 4 3 2 1 2 3 2
## [54289] 3 3 2 2 3 1 3 4 2 1 3 1 1 1 1 1 1 3 1 2 3 1 3 4 2 3 1 4 4 3 1 2 2 3 3 4
## [54325] 3 2 2 2 2 1 2 2 3 3 2 4 2 1 4 3 3 1 2 2 2 2 2 4 4 3 1 3 1 1 4 4 3 2 2 2
## [54361] 1 2 3 1 3 3 2 2 2 2 3 3 1 3 3 1 1 3 1 2 2 3 4 3 1 1 4 3 1 4 2 1 4 2 2 4
## [54397] 3 2 1 3 2 3 4 1 3 4 2 2 3 2 2 3 1 1 4 3 3 4 1 3 1 4 3 2 2 4 1 3 3 1 4 2
## [54433] 2 3 3 3 3 3 1 1 3 2 4 3 1 1 1 1 1 1 3 4 1 1 1 1 4 3 2 3 1 3 2 3 3 3 3 1
## [54469] 3 3 4 1 3 2 3 4 3 1 3 3 1 1 3 4 2 4 3 3 4 1 2 3 2 2 2 2 2 3 3 3 3 1 2 2
## [54505] 2 3 3 3 1 3 2 2 2 2 3 2 3 3 2 3 3 2 3 3 2 2 1 2 4 2 1 1 3 1 3 3 3 3 1 1
## [54541] 3 3 3 2 3 4 3 1 1 3 3 3 3 3 3 1 1 2 3 1 2 4 2 3 3 2 3 3 2 3 2 2 2 1 3 1
## [54577] 3 3 3 1 3 1 3 2 4 4 3 3 3 2 1 1 2 1 3 3 2 1 3 1 4 1 3 1 2 2 3 1 1 1 2 1
## [54613] 3 4 3 2 4 1 3 1 1 2 3 4 3 2 3 3 3 2 2 3 3 2 1 2 2 3 1 3 2 2 1 1 3 1 1 3
## [54649] 3 2 2 2 3 3 3 3 2 2 3 3 2 3 1 4 1 4 3 1 3 3 3 3 1 2 4 3 1 3 3 3 2 3 4 3
## [54685] 3 1 2 1 3 1 1 1 1 4 1 3 3 3 2 2 2 3 3 1 2 2 4 3 2 4 4 4 4 2 3 3 2 4 3 3
## [54721] 4 1 4 3 1 3 3 3 2 4 4 3 3 3 2 2 1 3 3 3 1 2 4 1 3 4 1 1 4 4 2 4 3 3 1 3
## [54757] 1 3 3 3 3 1 4 4 3 1 1 3 3 1 4 1 2 1 1 3 1 3 3 1 4 3 2 1 4 1 3 2 3 1 1 3
## [54793] 4 1 4 3 3 1 2 2 3 3 2 1 3 1 3 1 3 3 3 2 1 3 2 3 1 1 3 1 3 4 3 1 4 2 2 1
## [54829] 1 4 3 4 1 2 3 2 2 3 1 4 1 1 3 3 1 3 3 3 2 1 2 3 2 2 3 1 3 1 3 3 3 2 3 2
## [54865] 1 3 2 3 4 3 3 1 2 3 3 3 2 2 4 3 3 1 1 1 1 1 3 1 2 3 3 3 3 2 2 2 3 3 4 1
## [54901] 3 2 3 3 2 3 3 3 4 3 2 3 3 3 2 3 1 2 3 2 2 3 1 3 1 3 1 3 2 2 2 2 4 3 3 3
## [54937] 4 3 3 3 2 3 2 3 2 1 3 3 2 2 2 2 2 1 3 3 1 2 3 3 3 1 2 4 2 3 2 1 4 2 4 3
## [54973] 2 3 1 3 2 3 2 2 4 2 2 4 3 3 2 2 3 4 1 3 1 1 3 4 3 1 3 3 2 3 3 2 1 3 2 3
## [55009] 2 2 1 3 3 2 3 1 3 3 1 4 1 3 2 1 3 3 3 1 3 3 4 3 1 4 4 1 4 3 2 4 2 3 3 3
## [55045] 4 1 2 3 2 3 3 3 2 1 3 1 1 2 2 3 3 3 4 4 3 1 1 2 3 2 4 2 3 3 3 3 4 3 2 2
## [55081] 2 3 1 2 3 4 2 4 2 2 2 3 1 1 2 1 3 4 4 2 4 3 1 2 1 1 3 4 1 2 2 4 2 2 2 3
## [55117] 1 4 3 2 2 3 3 1 2 2 4 1 3 1 3 3 3 2 3 2 2 1 3 4 1 3 1 3 3 1 3 2 1 3 2 1
## [55153] 3 2 1 2 1 4 3 3 2 3 2 3 2 3 3 4 3 2 4 3 2 1 4 4 3 3 2 2 4 4 3 3 3 1 3 4
## [55189] 3 4 1 3 3 3 3 2 1 4 1 4 3 2 4 1 2 2 3 2 2 1 3 3 4 2 1 4 1 1 1 1 1 3 2 4
## [55225] 2 1 3 2 3 3 1 2 3 1 3 4 1 4 2 4 3 3 3 1 2 3 1 3 3 3 3 1 4 1 1 1 4 3 3 3
## [55261] 3 3 2 1 4 1 2 1 3 4 2 3 1 3 3 2 3 4 3 2 1 4 1 2 2 3 1 3 1 2 1 2 4 2 3 2
## [55297] 4 4 2 2 2 1 3 4 3 4 1 3 1 3 2 3 1 2 4 4 3 4 2 3 2 1 3 4 3 3 3 3 1 3 3 2
## [55333] 4 4 3 4 3 2 4 2 3 2 4 4 2 3 4 2 3 2 2 2 3 2 3 3 4 1 1 2 3 3 3 1 2 2 3 1
## [55369] 2 3 1 3 1 4 1 3 3 4 4 2 1 2 4 1 3 1 4 2 2 2 3 1 3 2 4 3 1 2 2 4 1 2 1 2
## [55405] 1 2 3 3 1 4 2 3 3 4 2 3 2 2 3 1 2 1 4 3 3 1 3 1 4 3 3 3 1 2 2 1 2 3 2 4
## [55441] 4 1 2 1 3 2 3 1 1 2 3 4 3 2 2 3 3 2 1 4 1 4 2 2 2 3 1 4 3 4 1 1 2 1 3 2
## [55477] 3 1 2 2 2 3 4 3 2 3 1 3 4 2 3 2 2 2 3 4 3 4 4 3 2 3 2 3 3 1 3 2 1 3 1 2
## [55513] 3 2 2 1 2 3 2 3 2 1 2 3 3 3 3 1 3 3 2 3 2 1 3 3 2 3 4 3 1 1 2 2 3 1 1 4
## [55549] 3 2 2 4 4 3 1 4 4 4 3 3 2 4 1 4 2 3 3 2 2 1 3 1 1 3 3 1 3 3 1 1 2 4 4 1
## [55585] 2 2 2 3 3 2 3 4 1 3 3 3 2 3 3 1 3 2 2 2 3 1 2 2 3 3 2 3 3 2 1 1 3 1 1 2
## [55621] 1 1 4 2 3 4 1 3 4 3 3 4 3 3 2 1 4 1 3 3 1 1 1 1 1 3 1 2 3 3 1 1 2 1 3 1
## [55657] 1 1 4 3 2 3 2 3 1 3 4 1 4 3 3 1 1 1 3 1 3 2 2 3 1 3 3 4 3 2 3 1 3 1 2 4
## [55693] 4 3 2 2 1 1 2 1 2 4 2 3 2 2 3 3 3 1 2 2 1 4 3 3 4 3 3 1 2 3 2 3 2 3 4 4
## [55729] 1 3 3 4 1 3 2 2 2 1 2 1 2 4 4 2 3 4 2 2 1 4 4 3 3 2 4 2 3 4 3 2 3 1 2 3
## [55765] 3 1 3 3 1 4 2 2 3 3 3 1 3 3 4 3 2 2 3 1 4 3 3 4 3 3 3 2 3 1 4 2 3 3 2 2
## [55801] 3 2 1 2 3 3 3 1 3 3 4 3 1 2 3 1 1 2 3 3 3 2 3 2 2 4 3 4 2 2 3 2 3 4 2 2
## [55837] 4 3 2 2 3 3 2 3 1 2 3 3 4 1 3 3 2 3 2 3 4 1 3 3 3 4 2 1 1 2 3 3 4 2 2 1
## [55873] 4 3 2 1 2 2 3 4 3 2 1 2 1 2 3 3 3 1 3 2 3 1 2 1 3 3 2 3 3 3 1 2 3 3 1 2
## [55909] 3 1 1 1 4 2 1 2 3 2 2 1 3 2 3 3 2 1 3 1 3 1 1 2 3 2 4 3 3 2 2 1 1 2 3 3
## [55945] 3 1 2 3 1 4 4 3 2 3 3 4 2 4 1 3 3 2 3 1 3 3 1 1 1 3 1 3 3 2 1 1 2 3 3 2
## [55981] 1 3 2 1 2 2 1 1 4 1 1 4 3 3 3 3 3 1 3 4 3 3 1 3 4 3 2 3 3 2 3 4 3 1 3 4
## [56017] 4 4 2 2 1 1 1 2 3 1 3 2 3 2 1 3 1 3 4 3 3 4 3 3 1 2 1 4 2 3 1 2 1 1 2 2
## [56053] 3 3 1 2 3 1 1 1 1 2 1 3 3 3 2 4 1 1 2 3 3 3 2 4 3 1 3 4 3 3 2 3 3 4 2 3
## [56089] 3 1 2 1 2 4 2 1 4 1 2 4 3 4 4 4 2 2 3 2 3 2 3 4 3 1 3 3 4 3 2 1 1 1 2 1
## [56125] 3 3 3 1 2 1 2 2 3 1 2 3 4 2 1 1 1 1 2 2 1 1 4 3 2 2 1 3 1 1 1 4 3 2 3 2
## [56161] 2 3 3 3 3 4 1 2 3 4 3 3 3 1 4 3 3 3 3 1 3 2 2 3 3 2 3 3 1 3 2 3 4 3 2 2
## [56197] 2 2 3 2 3 1 2 3 4 4 1 2 4 1 3 4 3 1 1 2 3 2 3 3 1 1 1 3 2 3 4 2 4 2 3 3
## [56233] 3 2 3 2 3 2 4 3 3 1 1 3 2 3 2 1 4 1 4 3 2 1 3 3 2 3 3 4 3 1 1 3 2 3 1 1
## [56269] 2 3 3 1 3 2 3 2 3 3 4 3 2 2 1 1 3 3 3 3 3 3 1 2 2 4 1 2 3 2 2 3 1 3 3 1
## [56305] 2 1 3 3 2 2 4 3 3 1 3 2 2 3 2 2 4 3 4 2 3 3 3 4 2 3 3 2 3 2 2 4 2 3 1 1
## [56341] 3 1 1 3 1 3 3 1 4 1 1 2 3 4 2 1 2 4 3 1 1 2 2 4 2 1 3 3 3 3 1 1 3 3 1 1
## [56377] 2 4 3 4 1 3 3 2 3 4 4 4 4 4 4 3 3 3 2 1 3 2 2 2 1 1 3 1 3 3 3 1 4 3 4 3
## [56413] 1 1 4 2 3 1 2 2 2 3 3 3 1 2 1 4 2 2 3 3 2 3 3 2 2 3 1 2 2 4 4 3 3 4 3 3
## [56449] 2 2 1 3 2 1 4 3 3 3 3 4 3 1 1 1 4 2 2 3 3 3 3 3 3 1 3 3 1 4 3 3 2 4 1 1
## [56485] 1 2 4 2 3 1 3 2 3 3 3 2 3 4 2 2 1 3 2 3 1 2 3 2 1 2 2 3 2 1 1 3 2 2 3 1
## [56521] 1 1 2 1 3 4 1 2 1 2 2 2 1 4 3 4 3 4 3 2 2 2 3 3 1 3 4 3 2 3 2 1 1 3 1 1
## [56557] 2 2 3 3 4 1 3 1 2 3 2 3 1 4 3 3 3 2 3 4 4 3 2 3 2 3 1 2 3 2 2 1 1 3 3 3
## [56593] 2 3 2 3 3 3 1 3 3 1 1 2 1 2 4 3 3 2 1 3 2 1 1 3 1 2 1 1 1 3 3 3 3 1 3 1
## [56629] 1 2 3 3 2 1 1 3 3 1 1 3 3 1 2 2 3 3 3 3 2 3 2 1 3 3 4 3 3 4 3 3 1 3 1 3
## [56665] 3 2 1 3 3 2 3 1 4 3 3 2 1 1 3 3 1 1 3 3 1 2 3 3 2 1 3 1 2 3 2 3 4 3 3 4
## [56701] 3 3 3 3 3 4 1 1 1 2 3 3 1 3 2 3 1 3 3 4 4 3 1 1 3 2 1 4 3 3 4 3 1 3 1 3
## [56737] 3 3 4 2 2 1 3 4 3 2 1 2 3 3 1 3 3 3 4 2 4 2 4 4 3 2 1 3 3 4 1 2 1 3 3 3
## [56773] 1 2 3 3 1 1 3 2 2 2 1 4 2 3 4 2 1 2 3 3 3 4 2 1 2 3 3 1 3 3 1 3 1 1 3 3
## [56809] 1 4 1 3 4 3 4 1 1 1 2 1 4 2 4 4 4 1 1 3 3 3 3 3 3 3 3 3 4 4 2 1 2 3 1 2
## [56845] 2 2 4 1 3 3 1 2 4 3 2 1 4 1 1 2 1 1 4 1 2 2 2 2 3 3 4 1 1 1 2 2 3 1 4 3
## [56881] 2 2 1 4 1 1 1 2 4 2 3 3 1 2 2 3 4 1 2 2 1 4 1 3 1 3 3 2 2 4 1 3 4 1 3 3
## [56917] 3 4 3 2 1 3 2 4 3 2 3 3 3 3 3 3 3 3 1 2 2 1 2 1 2 2 4 1 3 3 3 4 3 1 4 1
## [56953] 3 4 1 2 3 3 2 3 2 3 2 1 4 4 1 1 4 3 3 2 3 1 2 2 1 3 3 2 3 3 1 2 2 1 1 3
## [56989] 3 3 2 2 3 3 2 3 2 2 2 1 3 3 2 1 3 1 3 4 2 2 3 1 1 3 3 3 3 3 1 2 1 3 3 3
## [57025] 3 4 1 4 2 2 1 3 2 1 1 2 1 2 2 1 3 3 3 3 1 3 1 3 3 3 1 1 1 3 3 2 3 3 1 4
## [57061] 2 3 2 1 2 1 3 2 1 1 4 3 1 1 1 1 4 4 3 1 3 1 1 3 4 2 1 3 3 2 1 4 2 2 1 2
## [57097] 3 4 2 2 1 2 1 3 2 3 4 2 4 3 1 3 3 3 2 3 3 2 3 2 1 3 2 3 3 3 1 4 2 1 3 4
## [57133] 2 4 2 3 3 3 2 2 4 2 3 1 2 1 2 3 1 2 3 4 1 2 1 4 2 3 1 2 1 3 1 3 2 3 3 3
## [57169] 1 1 4 3 2 2 4 1 3 4 2 2 1 1 1 4 1 1 3 2 1 3 3 3 2 3 2 3 4 4 4 2 1 1 2 1
## [57205] 2 4 3 3 4 2 3 4 4 2 3 3 1 3 3 2 1 1 2 4 3 4 1 1 4 3 3 4 4 1 1 2 2 1 1 3
## [57241] 3 4 3 3 2 1 4 2 3 1 1 2 2 2 3 3 1 1 3 3 2 4 3 4 2 3 2 3 3 1 4 3 3 2 3 1
## [57277] 1 2 2 3 3 2 1 3 3 1 2 3 2 3 4 3 1 3 1 3 3 4 3 4 3 3 3 2 3 2 4 3 3 3 2 1
## [57313] 3 4 3 3 2 2 3 3 2 3 3 3 2 1 3 3 1 4 2 3 3 2 3 1 1 1 1 2 1 3 2 1 3 3 2 3
## [57349] 3 3 1 2 2 3 1 1 4 3 1 3 4 2 4 2 3 3 1 2 2 1 3 2 3 3 3 3 1 1 4 3 3 3 3 2
## [57385] 4 3 1 4 3 1 2 2 2 1 1 3 3 3 3 3 3 3 2 4 3 3 4 4 3 2 1 1 3 3 4 1 3 3 4 1
## [57421] 1 3 1 3 3 3 3 4 1 3 4 1 1 3 2 3 1 2 3 4 1 1 2 2 3 3 4 4 2 1 2 2 2 3 3 1
## [57457] 4 2 2 3 2 4 3 1 2 3 1 1 4 3 1 1 2 3 1 1 2 3 3 3 2 2 3 1 4 3 2 1 2 3 3 2
## [57493] 4 2 3 3 2 2 3 1 3 3 3 3 2 3 3 1 3 4 3 3 4 3 2 3 1 3 4 2 1 3 3 2 2 4 4 2
## [57529] 1 2 2 2 1 4 3 1 2 3 3 3 3 4 3 1 3 3 1 2 4 3 4 1 3 3 4 2 2 4 2 2 1 4 3 2
## [57565] 3 2 2 4 3 2 1 3 4 3 3 3 2 1 4 4 3 1 2 3 3 3 1 4 2 3 1 3 2 3 1 2 3 3 3 2
## [57601] 1 2 3 1 3 1 1 3 3 1 4 3 3 1 4 1 3 1 2 2 3 1 1 3 1 2 3 1 1 2 1 1 2 1 2 3
## [57637] 3 2 3 1 2 2 1 3 2 2 4 2 3 4 1 3 3 4 3 2 3 2 4 4 3 1 1 1 2 1 3 4 2 1 1 4
## [57673] 2 2 4 3 3 1 2 1 4 3 4 3 2 3 3 2 3 3 3 3 3 2 3 4 3 2 2 2 2 4 3 2 4 1 3 3
## [57709] 1 3 4 4 4 2 3 3 2 3 1 2 3 3 3 1 3 2 3 1 3 3 1 3 3 1 3 4 3 3 2 3 4 2 2 3
## [57745] 3 3 1 3 3 1 3 3 2 3 2 4 2 1 2 1 1 1 1 3 2 1 3 3 2 3 3 1 1 3 4 1 3 3 1 3
## [57781] 2 4 4 3 2 2 1 2 2 3 3 1 4 3 3 2 3 2 3 2 3 2 3 1 3 2 3 1 3 3 4 1 1 3 4 4
## [57817] 2 3 1 1 4 4 3 3 3 2 2 1 3 3 3 3 3 2 3 3 3 3 2 3 4 3 1 3 2 2 3 1 2 3 2 2
## [57853] 3 1 1 3 1 3 1 3 3 1 3 3 1 2 4 3 1 3 2 1 1 2 2 1 2 4 3 4 3 1 2 1 3 1 2 3
## [57889] 2 3 3 1 3 3 2 3 2 3 4 1 2 2 1 3 2 3 2 2 1 3 3 1 1 3 1 3 2 3 2 3 3 1 2 2
## [57925] 2 1 2 3 3 4 1 4 3 2 2 2 1 3 1 3 1 3 1 1 2 1 3 1 2 2 4 1 3 4 2 1 4 3 3 4
## [57961] 3 3 3 2 2 2 3 2 4 3 4 2 2 3 2 3 2 3 4 3 2 1 4 2 2 3 1 4 3 1 3 3 2 4 1 1
## [57997] 3 3 2 3 4 2 4 3 2 2 1 2 2 2 3 2 3 1 3 1 1 4 1 1 3 4 4 2 1 2 3 2 4 2 2 1
## [58033] 3 3 2 3 4 1 1 2 1 3 1 4 2 1 3 2 1 2 3 3 1 4 3 4 2 4 2 1 1 4 1 3 3 4 3 4
## [58069] 1 2 3 2 3 2 2 4 4 4 1 1 2 4 1 2 4 1 2 2 3 3 4 3 3 3 4 4 3 3 2 3 3 2 3 3
## [58105] 3 1 2 2 1 2 2 4 1 2 2 3 1 2 4 4 2 1 3 2 3 2 3 2 3 2 4 3 2 3 2 3 3 4 2 3
## [58141] 1 2 3 2 2 1 1 2 2 3 3 3 3 3 1 4 2 3 1 3 1 4 3 3 2 3 2 1 3 1 3 2 1 2 1 3
## [58177] 1 2 2 1 4 3 3 3 2 4 2 1 1 1 1 1 2 1 1 1 2 4 1 3 4 3 2 3 4 2 1 3 2 1 3 3
## [58213] 1 3 2 2 3 1 3 2 3 3 2 4 4 1 4 2 1 3 3 1 1 2 3 4 3 4 4 1 3 1 4 4 3 4 3 2
## [58249] 3 3 1 4 3 3 1 2 4 3 3 2 3 4 3 3 1 2 4 1 2 1 2 4 2 1 3 3 2 4 2 1 3 3 3 2
## [58285] 1 3 4 3 2 3 2 2 2 2 3 1 3 1 2 2 2 1 3 4 1 2 2 4 2 3 4 1 2 2 2 1 2 2 2 4
## [58321] 2 3 1 2 2 3 1 2 1 1 2 3 3 1 2 2 3 2 3 4 1 1 3 2 4 1 3 2 2 4 3 1 2 4 3 3
## [58357] 3 2 1 2 1 2 3 3 3 3 2 1 2 3 1 4 3 4 3 2 3 1 1 2 1 2 2 2 2 1 2 4 4 2 4 2
## [58393] 4 1 3 1 1 3 3 3 1 1 4 2 3 1 3 3 1 4 3 2 1 1 3 3 3 3 3 1 1 2 4 3 2 1 3 1
## [58429] 3 1 3 2 3 4 2 3 2 2 4 2 1 1 4 1 3 1 2 2 3 3 3 3 2 2 3 3 2 3 3 3 1 4 4 1
## [58465] 2 2 2 4 3 2 3 3 4 3 1 1 1 1 3 2 4 3 1 3 1 3 1 2 2 1 3 2 3 3 3 2 4 3 1 1
## [58501] 4 4 3 2 1 3 2 3 1 4 4 3 3 1 3 3 1 3 4 1 1 3 3 3 2 2 3 3 1 1 2 2 1 1 2 4
## [58537] 3 1 4 1 3 2 1 3 2 3 1 1 3 1 1 4 3 1 2 3 2 3 1 2 2 1 3 3 2 1 3 3 4 2 2 1
## [58573] 1 3 4 1 3 1 1 1 3 1 2 3 2 2 4 3 1 3 3 3
## 
## Within cluster sum of squares by cluster:
## [1]  54522.16  50894.19 131879.84  42310.57
##  (between_SS / total_SS =  60.2 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
# Visualize clustering results (using PCA to reduce to 2D for visualization)
pca_result <- prcomp(scaled_data, center = TRUE, scale. = TRUE)
pca_data <- data.frame(pca_result$x[,1:2], cluster = as.factor(kmeans_result$cluster))
ggplot(pca_data, aes(x = PC1, y = PC2, color = cluster)) +
  geom_point() +
  labs(title = "K-means Clustering (PCA Reduced)", x = "Principal Component 1", y = "Principal Component 2") +
  theme_minimal()

# Add clustering results to the original data
car_data2$cluster <- kmeans_result$cluster

# Analyze feature distribution for each cluster
cluster_summary <- car_data2 %>%
  group_by(cluster) %>%
  summarise_all(mean, na.rm = TRUE)
## Warning: There were 112 warnings in `summarise()`.
## The first warning was:
## ℹ In argument: `policy_id = (function (x, ...) ...`.
## ℹ In group 1: `cluster = 1`.
## Caused by warning in `mean.default()`:
## ! argument is not numeric or logical: returning NA
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 111 remaining warnings.
print(cluster_summary)
## # A tibble: 4 × 42
##   cluster policy_id subscription_length vehicle_age customer_age region_code
##     <int>     <dbl>               <dbl>       <dbl>        <dbl>       <dbl>
## 1       1        NA                6.81       1.78          44.8          NA
## 2       2        NA                4.40       0.486         45.4          NA
## 3       3        NA                6.72       1.70          44.9          NA
## 4       4        NA                6.46       1.56          43.4          NA
## # ℹ 36 more variables: region_density <dbl>, segment <dbl>, model <dbl>,
## #   fuel_type <dbl>, max_torque <dbl>, max_power <dbl>, engine_type <dbl>,
## #   airbags <dbl>, is_esc <dbl>, is_adjustable_steering <dbl>, is_tpms <dbl>,
## #   is_parking_sensors <dbl>, is_parking_camera <dbl>, rear_brakes_type <dbl>,
## #   displacement <dbl>, cylinder <dbl>, transmission_type <dbl>,
## #   steering_type <dbl>, turning_radius <dbl>, length <dbl>, width <dbl>,
## #   gross_weight <dbl>, is_front_fog_lights <dbl>, …
# Analyze insurance claim rate for each cluster
cluster_claim_analysis <- car_data2 %>%
  group_by(cluster) %>%
  summarise(
    claim_rate = mean(claim_status)
  )

print(cluster_claim_analysis)
## # A tibble: 4 × 2
##   cluster claim_rate
##     <int>      <dbl>
## 1       1     0.0643
## 2       2     0.0611
## 3       3     0.0678
## 4       4     0.0580
# Read data
car_data2 <- read.csv("~/Downloads/car_data2.csv")

# List of numerical features
numeric_features <- c(
  'subscription_length', 'vehicle_age', 'customer_age', 'region_density',
  'airbags', 'displacement', 'cylinder', 'turning_radius', 'length', 'width',
  'gross_weight', 'ncap_rating'
)

# Extract numerical feature data
numeric_data <- car_data2 %>%
  select(all_of(numeric_features))

# Add target variable
numeric_data$claim_status <- car_data2$claim_status

# Calculate correlation matrix
cor_matrix <- cor(numeric_data, use = "complete.obs")

# Plot correlation heatmap using corrplot package
corrplot(cor_matrix, method = "color", type = "upper", 
         tl.col = "black", tl.srt = 45, 
         addCoef.col = "black", number.cex = 0.7)

# Plot correlation heatmap using ggcorrplot package
ggcorrplot(cor_matrix, 
           method = "square", 
           lab = TRUE, 
           lab_size = 3, 
           colors = c("blue", "white", "red"), 
           title = "Correlation Heatmap",
           tl.cex = 12, 
           tl.srt = 45)

# Create a list of box plots
plots <- lapply(numeric_features, function(feature) {
  ggplot(car_data2, aes_string(y = feature)) + 
    geom_boxplot() + 
    labs(title = feature) +
    theme(axis.text.x = element_blank(), axis.ticks.x = element_blank())
})

# Arrange box plots side by side
grid.arrange(grobs = plots, ncol = 4)

# List of numerical features
numeric_features <- c(
  'subscription_length', 'vehicle_age', 'customer_age', 'region_density',
  'airbags', 'displacement', 'cylinder', 'turning_radius', 'length', 'width',
  'gross_weight', 'ncap_rating'
)

# Extract numerical feature data
numeric_data <- car_data2 %>%
  select(all_of(numeric_features))

# Standardize data
numeric_data_scaled <- scale(numeric_data)

# Perform PCA analysis
pca_result <- prcomp(numeric_data_scaled, center = TRUE, scale. = TRUE)

# Print PCA results
summary(pca_result)
## Importance of components:
##                           PC1     PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     2.5680 1.07877 1.01215 0.97761 0.87817 0.84039 0.68139
## Proportion of Variance 0.5496 0.09698 0.08537 0.07964 0.06427 0.05885 0.03869
## Cumulative Proportion  0.5496 0.64655 0.73192 0.81156 0.87583 0.93468 0.97337
##                            PC8     PC9   PC10    PC11    PC12
## Standard deviation     0.41389 0.32143 0.1896 0.08923 0.03152
## Proportion of Variance 0.01428 0.00861 0.0030 0.00066 0.00008
## Cumulative Proportion  0.98765 0.99626 0.9992 0.99992 1.00000
# Convert claim_status to a factor variable
car_data2$claim_status <- as.factor(car_data2$claim_status)

# Visualize PCA results
# Principal Component plot
fviz_pca_ind(pca_result,
             geom.ind = "point", # Show points for individuals
             pointshape = 21,
             pointsize = 2,
             fill.ind = car_data2$claim_status, # Color by claim status
             palette = c("#00AFBB", "#FC4E07"),
             addEllipses = TRUE, # Add confidence ellipses
             label = "var",
             col.var = "black",
             repel = TRUE) + 
  theme_minimal()

# Variable plot
fviz_pca_var(pca_result,
             col.var = "contrib", # Color by contribution
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE) + 
  theme_minimal()

# List of numerical features
numeric_features <- c(
  'subscription_length', 'vehicle_age', 'customer_age', 'region_density',
  'airbags', 'displacement', 'cylinder', 'turning_radius', 'length', 'width',
  'gross_weight', 'ncap_rating'
)

# Extract numerical feature data
numeric_data <- car_data2 %>%
  select(all_of(numeric_features))

# Remove duplicate rows
numeric_data <- numeric_data %>%
  distinct()

# Standardize numerical features
numeric_data_scaled <- scale(numeric_data)

# Set random seed to ensure reproducibility
set.seed(123)

# Perform t-SNE analysis
tsne_result <- Rtsne(numeric_data_scaled, dims = 2, perplexity = 30, verbose = TRUE, max_iter = 500)
## Performing PCA
## Read the 56436 x 12 data matrix successfully!
## Using no_dims = 2, perplexity = 30.000000, and theta = 0.500000
## Computing input similarities...
## Building tree...
##  - point 10000 of 56436
##  - point 20000 of 56436
##  - point 30000 of 56436
##  - point 40000 of 56436
##  - point 50000 of 56436
## Done in 2.87 seconds (sparsity = 0.001952)!
## Learning embedding...
## Iteration 50: error is 119.521453 (50 iterations in 4.83 seconds)
## Iteration 100: error is 119.521435 (50 iterations in 5.13 seconds)
## Iteration 150: error is 116.560211 (50 iterations in 6.45 seconds)
## Iteration 200: error is 100.191522 (50 iterations in 4.96 seconds)
## Iteration 250: error is 94.107682 (50 iterations in 4.86 seconds)
## Iteration 300: error is 4.462061 (50 iterations in 4.74 seconds)
## Iteration 350: error is 4.037850 (50 iterations in 4.68 seconds)
## Iteration 400: error is 3.750858 (50 iterations in 4.87 seconds)
## Iteration 450: error is 3.531928 (50 iterations in 5.24 seconds)
## Iteration 500: error is 3.355857 (50 iterations in 4.90 seconds)
## Fitting performed in 50.66 seconds.
# Extract t-SNE results
tsne_data <- as.data.frame(tsne_result$Y)
colnames(tsne_data) <- c("Dim1", "Dim2")

# Merge t-SNE results with the claim_status from the original data
tsne_data <- cbind(tsne_data, claim_status = car_data2$claim_status[1:nrow(tsne_data)])

# Convert claim_status to a factor variable
tsne_data$claim_status <- as.factor(tsne_data$claim_status)

# Visualize t-SNE results
ggplot(tsne_data, aes(x = Dim1, y = Dim2, color = claim_status)) +
  geom_point(alpha = 0.7) +
  labs(title = "t-SNE Analysis of Vehicle Data", x = "Dimension 1", y = "Dimension 2") +
  scale_color_manual(values = c("0" = "#00AFBB", "1" = "#FC4E07")) +
  theme_minimal()

# Set random seed to ensure reproducibility
set.seed(123)

# Perform K-means clustering on the t-SNE results
kmeans_result <- kmeans(tsne_data[, c("Dim1", "Dim2")], centers = 5) # Assuming 5 clusters

# Add clustering results to the data
tsne_data$cluster <- as.factor(kmeans_result$cluster)

# Visualize K-means clustering results
ggplot(tsne_data, aes(x = Dim1, y = Dim2, color = cluster)) +
  geom_point(alpha = 0.7) +
  labs(title = "t-SNE and K-means Clustering of Vehicle Data", x = "Dimension 1", y = "Dimension 2") +
  theme_minimal()

# Load necessary libraries
library(cluster)
library(dendextend)
library(ggplot2)

# Set random seed to ensure reproducibility
set.seed(123)

# Perform random sampling on the t-SNE results
sample_indices <- sample(1:nrow(tsne_data), size = 10000)
tsne_sample <- tsne_data[sample_indices, ]

# Perform hierarchical clustering on the t-SNE sample
dist_matrix <- dist(tsne_sample[, c("Dim1", "Dim2")])
hc_result <- hclust(dist_matrix, method = "ward.D2")

# Convert to dendrogram object and remove labels
dend <- as.dendrogram(hc_result)
dend <- dend %>% set("labels", NULL) # Remove labels
## Warning in `labels<-.dendrogram`(dend, value = value, ...): The lengths of the
## new labels is shorter than the number of leaves in the dendrogram - labels are
## recycled.
## Warning in rep(new_labels, length.out = leaves_length): 'x' is NULL so the
## result will be NULL
# Plot dendrogram
plot(dend, main = "Dendrogram of t-SNE Sample Results")

# Cut the dendrogram at different levels and visualize the results
# Assume we want to observe 3 different levels (2 clusters, 3 clusters, and 5 clusters)
k_values <- c(2, 3, 5)
colors <- c("red", "blue", "green", "orange", "purple")

for (k in k_values) {
  # Cut the dendrogram
  clusters <- cutree(hc_result, k = k)
  tsne_sample$cluster <- as.factor(clusters)
  
  # Visualize clustering results
  p <- ggplot(tsne_sample, aes(x = Dim1, y = Dim2, color = cluster)) +
    geom_point(alpha = 0.7) +
    labs(title = paste("t-SNE and Hierarchical Clustering with", k, "Clusters"), 
         x = "Dimension 1", y = "Dimension 2") +
    scale_color_manual(values = colors[1:k]) +
    theme_minimal()
  
  print(p)
}

# Load necessary libraries
library(cluster)
library(dendextend)
library(ggplot2)
library(dplyr)

# Set random seed to ensure reproducibility
set.seed(123)

# Perform random sampling on the t-SNE results
sample_indices <- sample(1:nrow(tsne_data), size = 10000)
tsne_sample <- tsne_data[sample_indices, ]

# Perform hierarchical clustering on the t-SNE sample
dist_matrix <- dist(tsne_sample[, c("Dim1", "Dim2")])
hc_result <- hclust(dist_matrix, method = "ward.D2")

# Convert to dendrogram object and remove labels
dend <- as.dendrogram(hc_result)
dend <- dend %>% set("labels", NULL) # Remove labels
## Warning in `labels<-.dendrogram`(dend, value = value, ...): The lengths of the
## new labels is shorter than the number of leaves in the dendrogram - labels are
## recycled.
## Warning in rep(new_labels, length.out = leaves_length): 'x' is NULL so the
## result will be NULL
# Plot dendrogram
plot(dend, main = "Dendrogram of t-SNE Sample Results")

# Cut the dendrogram at different levels and visualize the results
# Assume we want to observe 3 different levels (2 clusters, 3 clusters, and 5 clusters)
k_values <- c(2, 3, 5)
colors <- c("red", "blue", "green", "orange", "purple")

for (k in k_values) {
  # Cut the dendrogram
  clusters <- cutree(hc_result, k = k)
  tsne_sample$cluster <- as.factor(clusters)
  
  # Calculate the proportion of each cluster
  cluster_proportions <- prop.table(table(tsne_sample$cluster))
  print(paste("Proportions of clusters for k =", k))
  print(cluster_proportions)
  
  # Merge cluster information with the original data
  merged_data <- cbind(tsne_sample, car_data2[sample_indices, numeric_features])
  
  # Summarize characteristics of each cluster
  cluster_summary <- merged_data %>%
    group_by(cluster) %>%
    summarise_all(mean, na.rm = TRUE)
  
  print(paste("Cluster characteristics for k =", k))
  print(cluster_summary)
  
  # Visualize clustering results
  p <- ggplot(tsne_sample, aes(x = Dim1, y = Dim2, color = cluster)) +
    geom_point(alpha = 0.7) +
    labs(title = paste("t-SNE and Hierarchical Clustering with", k, "Clusters"), 
         x = "Dimension 1", y = "Dimension 2") +
    scale_color_manual(values = colors[1:k]) +
    theme_minimal()
  
  print(p)
}
## [1] "Proportions of clusters for k = 2"
## 
##     1     2 
## 0.509 0.491
## Warning: There were 2 warnings in `summarise()`.
## The first warning was:
## ℹ In argument: `claim_status = (function (x, ...) ...`.
## ℹ In group 1: `cluster = 1`.
## Caused by warning in `mean.default()`:
## ! argument is not numeric or logical: returning NA
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 1 remaining warning.
## [1] "Cluster characteristics for k = 2"
## # A tibble: 2 × 16
##   cluster  Dim1   Dim2 claim_status subscription_length vehicle_age customer_age
##   <fct>   <dbl>  <dbl>        <dbl>               <dbl>       <dbl>        <dbl>
## 1 1       -7.56  0.331           NA                6.15        1.40         44.8
## 2 2        7.80 -0.310           NA                6.09        1.38         44.9
## # ℹ 9 more variables: region_density <dbl>, airbags <dbl>, displacement <dbl>,
## #   cylinder <dbl>, turning_radius <dbl>, length <dbl>, width <dbl>,
## #   gross_weight <dbl>, ncap_rating <dbl>
## [1] "Proportions of clusters for k = 3"
## 
##      1      2      3 
## 0.2412 0.4910 0.2678
## Warning: There were 3 warnings in `summarise()`.
## The first warning was:
## ℹ In argument: `claim_status = (function (x, ...) ...`.
## ℹ In group 1: `cluster = 1`.
## Caused by warning in `mean.default()`:
## ! argument is not numeric or logical: returning NA
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 2 remaining warnings.

## [1] "Cluster characteristics for k = 3"
## # A tibble: 3 × 16
##   cluster  Dim1   Dim2 claim_status subscription_length vehicle_age customer_age
##   <fct>   <dbl>  <dbl>        <dbl>               <dbl>       <dbl>        <dbl>
## 1 1       -7.62 -9.77            NA                6.10        1.43         44.8
## 2 2        7.80 -0.310           NA                6.09        1.38         44.9
## 3 3       -7.51  9.43            NA                6.19        1.38         44.8
## # ℹ 9 more variables: region_density <dbl>, airbags <dbl>, displacement <dbl>,
## #   cylinder <dbl>, turning_radius <dbl>, length <dbl>, width <dbl>,
## #   gross_weight <dbl>, ncap_rating <dbl>
## [1] "Proportions of clusters for k = 5"
## 
##      1      2      3      4      5 
## 0.2412 0.3052 0.1212 0.1466 0.1858
## Warning: There were 5 warnings in `summarise()`.
## The first warning was:
## ℹ In argument: `claim_status = (function (x, ...) ...`.
## ℹ In group 1: `cluster = 1`.
## Caused by warning in `mean.default()`:
## ! argument is not numeric or logical: returning NA
## ℹ Run `dplyr::last_dplyr_warnings()` to see the 4 remaining warnings.

## [1] "Cluster characteristics for k = 5"
## # A tibble: 5 × 16
##   cluster   Dim1  Dim2 claim_status subscription_length vehicle_age customer_age
##   <fct>    <dbl> <dbl>        <dbl>               <dbl>       <dbl>        <dbl>
## 1 1        -7.62 -9.77           NA                6.10        1.43         44.8
## 2 2         5.11 -4.16           NA                6.16        1.38         44.8
## 3 3        -1.59 14.0            NA                6.22        1.36         44.8
## 4 4       -12.4   5.65           NA                6.16        1.39         44.8
## 5 5        12.2   6.01           NA                5.99        1.38         45.1
## # ℹ 9 more variables: region_density <dbl>, airbags <dbl>, displacement <dbl>,
## #   cylinder <dbl>, turning_radius <dbl>, length <dbl>, width <dbl>,
## #   gross_weight <dbl>, ncap_rating <dbl>